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22001221242 = 23371113407023
BaseRepresentation
bin10100011111010111…
…111111111001111010
32002210022011211201000
4110133113333321322
5330024303034432
614035054305430
71406132203110
oct243727777172
962708154630
1022001221242
119370130180
1243201b8276
1320c818bb10
1410c9dbbab0
1588b7c057c
hex51f5ffe7a

22001221242 has 128 divisors (see below), whose sum is σ = 65644830720. Its totient is φ = 5275005120.

The previous prime is 22001221223. The next prime is 22001221243. The reversal of 22001221242 is 24212210022.

22001221242 is a `hidden beast` number, since 2 + 200 + 1 + 221 + 242 = 666.

It is a super-2 number, since 2×220012212422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22001221243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149458 + ... + 257565.

It is an arithmetic number, because the mean of its divisors is an integer number (512850240).

Almost surely, 222001221242 is an apocalyptic number.

22001221242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22001221242 is an abundant number, since it is smaller than the sum of its proper divisors (43643609478).

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

22001221242 is a wasteful number, since it uses less digits than its factorization.

22001221242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407065 (or 407059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22001221242 its reverse (24212210022), we get a palindrome (46213431264).

The spelling of 22001221242 in words is "twenty-two billion, one million, two hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 54054 407023 814046 1221069 2442138 2849161 3663207 4477253 5291299 5698322 7326414 8547483 8954506 10582598 10989621 13431759 15873897 17094966 21979242 25642449 26863518 31340771 31747794 37039093 40295277 47621691 51284898 58204289 62681542 74078186 76927347 80590554 94022313 95243382 111117279 116408578 120885831 142865073 153854694 174612867 188044626 222234558 241771662 282066939 285730146 333351837 349225734 407430023 523838601 564133878 666703674 814860046 846200817 1000055511 1047677202 1222290069 1571515803 1692401634 2000111022 2444580138 3143031606 3666870207 7333740414 11000610621 22001221242