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13222031220 = 22335191288697
BaseRepresentation
bin11000101000001100…
…00010111101110100
31021010110120210001000
430110012002331310
5204034314444340
610024002003300
7645440260656
oct142406027564
937113523030
1013222031220
115675545832
122690046530
1313293a0b18
148d60446d6
15525badd30
hex314182f74

13222031220 has 96 divisors (see below), whose sum is σ = 43300252800. Its totient is φ = 3340300032.

The previous prime is 13222031203. The next prime is 13222031267. The reversal of 13222031220 is 2213022231.

13222031220 is a `hidden beast` number, since 132 + 220 + 312 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13222031193 and 13222031202.

It is a congruent number.

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, 634089 + ... + 654608.

It is an arithmetic number, because the mean of its divisors is an integer number (451044300).

Almost surely, 213222031220 is an apocalyptic number.

13222031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222031220 is an abundant number, since it is smaller than the sum of its proper divisors (30078221580).

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

13222031220 is a wasteful number, since it uses less digits than its factorization.

13222031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288734 (or 1288726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13222031220 its reverse (2213022231), we get a palindrome (15435053451).

The spelling of 13222031220 in words is "thirteen billion, two hundred twenty-two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 1288697 2577394 3866091 5154788 6443485 7732182 11598273 12886970 15464364 19330455 23196546 24485243 25773940 34794819 38660910 46393092 48970486 57991365 69589638 73455729 77321820 97940972 115982730 122426215 139179276 146911458 173974095 220367187 231965460 244852430 293822916 347948190 367278645 440734374 489704860 661101561 695896380 734557290 881468748 1101835935 1322203122 1469114580 2203671870 2644406244 3305507805 4407343740 6611015610 13222031220