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107226466020 = 223252083285983
BaseRepresentation
bin110001111011100110…
…0100000011011100100
3101020202210111212000100
41203313030200123210
53224044433403040
6121131551144100
710514112631362
oct1436714403344
9336683455010
10107226466020
11415245a9a73
1218945b15030
13a15aa0823b
145292acc632
152bc8889b30
hex18f73206e4

107226466020 has 72 divisors (see below), whose sum is σ = 325410898176. Its totient is φ = 28579897152.

The previous prime is 107226466001. The next prime is 107226466093. The reversal of 107226466020 is 20664622701.

107226466020 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 6 + 46 + 602 + 0 = 666.

It is a super-2 number, since 2×1072264660202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231949 + ... + 517931.

It is an arithmetic number, because the mean of its divisors is an integer number (4519595808).

Almost surely, 2107226466020 is an apocalyptic number.

107226466020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107226466020 is an abundant number, since it is smaller than the sum of its proper divisors (218184432156).

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

107226466020 is a wasteful number, since it uses less digits than its factorization.

107226466020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288081 (or 288076 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 107226466020 in words is "one hundred seven billion, two hundred twenty-six million, four hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2083 4166 6249 8332 10415 12498 18747 20830 24996 31245 37494 41660 62490 74988 93735 124980 187470 285983 374940 571966 857949 1143932 1429915 1715898 2573847 2859830 3431796 4289745 5147694 5719660 8579490 10295388 12869235 17158980 25738470 51476940 595702589 1191405178 1787107767 2382810356 2978512945 3574215534 5361323301 5957025890 7148431068 8935538835 10722646602 11914051780 17871077670 21445293204 26806616505 35742155340 53613233010 107226466020