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23423230551200 = 2552313421222193
BaseRepresentation
bin1010101001101101001010…
…10101100010010010100000
310001221020110012200102110212
411110312211111202102200
511032231234010114300
6121452252241113252
74635162326426354
oct524664525422240
9101836405612425
1023423230551200
117510811005057
1227636b4628828
13100ba5520424c
145ad99469b464
152a945a674935
hex154da55624a0

23423230551200 has 144 divisors (see below), whose sum is σ = 57501168424056. Its totient is φ = 9317132697600.

The previous prime is 23423230551181. The next prime is 23423230551229. The reversal of 23423230551200 is 215503232432.

It can be written as a sum of positive squares in 12 ways, for example, as 5873197147024 + 17550033404176 = 2423468^2 + 4189276^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105307304 + ... + 105529496.

Almost surely, 223423230551200 is an apocalyptic number.

23423230551200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23423230551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28750584212028).

23423230551200 is an abundant number, since it is smaller than the sum of its proper divisors (34077937872856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23423230551200 is a wasteful number, since it uses less digits than its factorization.

23423230551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222947 (or 222934 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 23423230551200 its reverse (215503232432), we get a palindrome (23638733783632).

The spelling of 23423230551200 in words is "twenty-three trillion, four hundred twenty-three billion, two hundred thirty million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 313 400 421 626 800 842 1252 1565 1684 2105 2504 3130 3368 4210 5008 6260 6736 7825 8420 10016 10525 12520 13472 15650 16840 21050 25040 31300 33680 42100 50080 62600 67360 84200 125200 131773 168400 222193 250400 263546 336800 444386 527092 658865 888772 1054184 1110965 1317730 1777544 2108368 2221930 2635460 3294325 3555088 4216736 4443860 5270920 5554825 6588650 7110176 8887720 10541840 11109650 13177300 17775440 21083680 22219300 26354600 35550880 44438600 52709200 69546409 88877200 93543253 105418400 139092818 177754400 187086506 278185636 347732045 374173012 467716265 556371272 695464090 748346024 935432530 1112742544 1390928180 1496692048 1738660225 1870865060 2225485088 2338581325 2781856360 2993384096 3477320450 3741730120 4677162650 5563712720 6954640900 7483460240 9354325300 11127425440 13909281800 14966920480 18708650600 27818563600 29279038189 37417301200 55637127200 58558076378 74834602400 117116152756 146395190945 234232305512 292790381890 468464611024 585580763780 731975954725 936929222048 1171161527560 1463951909450 2342323055120 2927903818900 4684646110240 5855807637800 11711615275600 23423230551200