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70180224 = 273199619
BaseRepresentation
bin1000010111011…
…01110110000000
311220001112011120
410023231312000
5120431231344
610544112240
71511344032
oct413556600
9156045146
1070180224
1136684494
121b605680
131170287a
14946bc52
156264219
hex42edd80

70180224 has 64 divisors (see below), whose sum is σ = 196248000. Its totient is φ = 22159872.

The previous prime is 70180219. The next prime is 70180277. The reversal of 70180224 is 42208107.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 70180194 and 70180203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2487 + ... + 12105.

It is an arithmetic number, because the mean of its divisors is an integer number (3066375).

Almost surely, 270180224 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 70180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98124000).

70180224 is an abundant number, since it is smaller than the sum of its proper divisors (126067776).

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

70180224 is a wasteful number, since it uses less digits than its factorization.

70180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9655 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 70180224 is about 8377.3637858219. The cubic root of 70180224 is about 412.4819195014.

The spelling of 70180224 in words is "seventy million, one hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 9619 19238 28857 38476 57714 76952 115428 153904 182761 230856 307808 365522 461712 548283 615616 731044 923424 1096566 1231232 1462088 1846848 2193132 2924176 3693696 4386264 5848352 8772528 11696704 17545056 23393408 35090112 70180224