Search a number
-
+
22200330241104 = 24310091077142557
BaseRepresentation
bin1010000110000111010101…
…10011000100010001010000
32220121022221012000000202020
411003003222303010101100
510402212234020203404
6115114405123251440
74450630610335011
oct503035263042120
986538835000666
1022200330241104
11708a11a729054
1225a66a5819b80
13c506363c29c2
1456a7049d5008
152877352bbed9
hex1430eacc4450

22200330241104 has 80 divisors (see below), whose sum is σ = 57414371346240. Its totient is φ = 7391915919360.

The previous prime is 22200330241057. The next prime is 22200330241123. The reversal of 22200330241104 is 40114203300222.

It is a happy number.

It is a super-2 number, since 2×222003302411042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521639794 + ... + 521682350.

It is an arithmetic number, because the mean of its divisors is an integer number (717679641828).

Almost surely, 222200330241104 is an apocalyptic number.

22200330241104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22200330241104 is an abundant number, since it is smaller than the sum of its proper divisors (35214041105136).

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

22200330241104 is a wasteful number, since it uses less digits than its factorization.

22200330241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54348 (or 54342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22200330241104 its reverse (40114203300222), we get a palindrome (62314533541326).

The spelling of 22200330241104 in words is "twenty-two trillion, two hundred billion, three hundred thirty million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1009 2018 3027 4036 6054 8072 10771 12108 16144 21542 24216 32313 42557 43084 48432 64626 85114 86168 127671 129252 170228 172336 255342 258504 340456 510684 517008 680912 1021368 2042736 10867939 21735878 32603817 42940013 43471756 65207634 85880026 86943512 128820039 130415268 171760052 173887024 257640078 260830536 343520104 458381447 515280156 521661072 687040208 916762894 1030560312 1375144341 1833525788 2061120624 2750288682 3667051576 5500577364 7334103152 11001154728 22002309456 462506880023 925013760046 1387520640069 1850027520092 2775041280138 3700055040184 5550082560276 7400110080368 11100165120552 22200330241104