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122625006 = 23723612081
BaseRepresentation
bin1110100111100…
…01101111101110
322112201222212220
413103301233232
5222343000011
620100140210
73016203210
oct723615756
9275658786
10122625006
1163244a89
1235097666
131c53599a
14124005b0
15ab73506
hex74f1bee

122625006 has 64 divisors (see below), whose sum is σ = 297409536. Its totient is φ = 32947200.

The previous prime is 122624969. The next prime is 122625011. The reversal of 122625006 is 600526221.

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, 57886 + ... + 59966.

It is an arithmetic number, because the mean of its divisors is an integer number (4647024).

Almost surely, 2122625006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122625006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148704768).

122625006 is an abundant number, since it is smaller than the sum of its proper divisors (174784530).

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

122625006 is a wasteful number, since it uses less digits than its factorization.

122625006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 122625006 is about 11073.6175660892. The cubic root of 122625006 is about 496.8130714638.

The spelling of 122625006 in words is "one hundred twenty-two million, six hundred twenty-five thousand, six".

Divisors: 1 2 3 6 7 14 21 23 42 46 61 69 122 138 161 183 322 366 427 483 854 966 1281 1403 2081 2562 2806 4162 4209 6243 8418 9821 12486 14567 19642 29134 29463 43701 47863 58926 87402 95726 126941 143589 253882 287178 335041 380823 670082 761646 888587 1005123 1777174 2010246 2665761 2919643 5331522 5839286 8758929 17517858 20437501 40875002 61312503 122625006