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22201303312 = 24196167107167
BaseRepresentation
bin10100101011010011…
…010000000100010000
32010022020200001201001
4110223103100010100
5330432013201222
614111002551344
71414111651546
oct245323200420
963266601631
1022201303312
119463069861
124377208554
13212a774586
1411087c1d96
1589e143e27
hex52b4d0110

22201303312 has 160 divisors (see below), whose sum is σ = 47426964480. Its totient is φ = 10033943040.

The previous prime is 22201303291. The next prime is 22201303417. The reversal of 22201303312 is 21330310222.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 22201303312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132941853 + ... + 132942019.

It is an arithmetic number, because the mean of its divisors is an integer number (296418528).

Almost surely, 222201303312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23713482240).

22201303312 is an abundant number, since it is smaller than the sum of its proper divisors (25225661168).

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

22201303312 is a wasteful number, since it uses less digits than its factorization.

22201303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22201303312 its reverse (21330310222), we get a palindrome (43531613534).

The spelling of 22201303312 in words is "twenty-two billion, two hundred one million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 61 67 76 107 122 134 152 167 214 244 268 304 334 428 488 536 668 856 976 1072 1159 1273 1336 1712 2033 2318 2546 2672 3173 4066 4087 4636 5092 6346 6527 7169 8132 8174 9272 10184 10187 11189 12692 13054 14338 16264 16348 17869 18544 20368 20374 22378 25384 26108 28676 32528 32696 35738 40748 44756 50768 52216 57352 65392 71476 77653 81496 89512 104432 114704 124013 136211 142952 155306 162992 179024 193553 212591 248026 272422 285904 310612 339511 387106 425182 437309 496052 544844 621224 679022 682529 774212 850364 874618 992104 1089688 1090009 1197223 1242448 1358044 1365058 1548424 1700728 1749236 1984208 2179376 2180018 2394446 2716088 2730116 3096848 3401456 3498472 4360036 4788892 5432176 5460232 6996944 8308871 8720072 9577784 10920464 12968051 16617742 17440144 19155568 20710171 22747237 25936102 33235484 41420342 45494474 51872204 66470968 73030603 82840684 90988948 103744408 132941936 146061206 165681368 181977896 207488816 292122412 331362736 363955792 584244824 1168489648 1387581457 2775162914 5550325828 11100651656 22201303312