Search a number
-
+
23153224600 = 23521147223919
BaseRepresentation
bin10101100100000010…
…100010101110011000
32012202120212200020001
4111210002202232120
5334404211141400
614345245542344
71446521106352
oct254402425630
965676780201
1023153224600
119901434370
1245a1b749b4
13224ca499cc
141198db60d2
159079c9a6a
hex5640a2b98

23153224600 has 96 divisors (see below), whose sum is σ = 59974732800. Its totient is φ = 8240182400.

The previous prime is 23153224519. The next prime is 23153224607. The reversal of 23153224600 is 642235132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23153224607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8560 + ... + 215359.

It is an arithmetic number, because the mean of its divisors is an integer number (624736800).

Almost surely, 223153224600 is an apocalyptic number.

23153224600 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 23153224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29987366400).

23153224600 is an abundant number, since it is smaller than the sum of its proper divisors (36821508200).

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

23153224600 is a wasteful number, since it uses less digits than its factorization.

23153224600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223993 (or 223984 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 23153224600 its reverse (642235132), we get a palindrome (23795459732).

The spelling of 23153224600 in words is "twenty-three billion, one hundred fifty-three million, two hundred twenty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 223919 447838 895676 1119595 1791352 2239190 2463109 4478380 4926218 5597975 8956760 9852436 10524193 11195950 12315545 19704872 21048386 22391900 24631090 42096772 44783800 49262180 52620965 61577725 84193544 98524360 105241930 115766123 123155450 210483860 231532246 246310900 263104825 420967720 463064492 492621800 526209650 578830615 926128984 1052419300 1157661230 2104838600 2315322460 2894153075 4630644920 5788306150 11576612300 23153224600