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112970226690 = 23353717476473
BaseRepresentation
bin110100100110110001…
…1001101110000000010
3101210121002102010102000
41221031203031300002
53322330334223230
6123521532004430
711106336040326
oct1511543156002
9353532363360
10112970226690
1143a01825412
1219a89600716
13a8649886a9
145679879986
152e12c59b60
hex1a4d8cdc02

112970226690 has 128 divisors (see below), whose sum is σ = 309620862720. Its totient is φ = 29289890304.

The previous prime is 112970226679. The next prime is 112970226713. The reversal of 112970226690 is 96622079211.

112970226690 is a `hidden beast` number, since 11 + 297 + 0 + 2 + 266 + 90 = 666.

It is a super-2 number, since 2×1129702266902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17449294 + ... + 17455766.

It is an arithmetic number, because the mean of its divisors is an integer number (2418912990).

Almost surely, 2112970226690 is an apocalyptic number.

112970226690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112970226690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154810431360).

112970226690 is an abundant number, since it is smaller than the sum of its proper divisors (196650636030).

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

112970226690 is a wasteful number, since it uses less digits than its factorization.

112970226690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 112970226690 in words is "one hundred twelve billion, nine hundred seventy million, two hundred twenty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1747 1998 3330 3494 4995 5241 6473 8735 9990 10482 12946 15723 17470 19419 26205 31446 32365 38838 47169 52410 58257 64639 64730 78615 94338 97095 116514 129278 157230 174771 193917 194190 235845 239501 291285 323195 349542 387834 471690 479002 581751 582570 646390 718503 873855 969585 1163502 1197505 1437006 1745253 1747710 1939170 2155509 2395010 2908755 3490506 3592515 4311018 5817510 6466527 7185030 8726265 10777545 11308331 12933054 17452530 21555090 22616662 32332635 33924993 56541655 64665270 67849986 101774979 113083310 169624965 203549958 305324937 339249930 418408247 508874895 610649874 836816494 1017749790 1255224741 1526624685 2092041235 2510449482 3053249370 3765674223 4184082470 6276123705 7531348446 11297022669 12552247410 18828371115 22594045338 37656742230 56485113345 112970226690