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212725664 = 2589113661
BaseRepresentation
bin11001010110111…
…10111110100000
3112211021120202022
430223132332200
5413424210124
633035241012
75162065304
oct1453367640
9484246668
10212725664
11aa094a38
125b2a9168
13350c1698
1420375d04
1513a1ec5e
hexcadefa0

212725664 has 48 divisors (see below), whose sum is σ = 427903560. Its totient is φ = 104079360.

The previous prime is 212725663. The next prime is 212725673. The reversal of 212725664 is 466527212.

It can be written as a sum of positive squares in 4 ways, for example, as 118635664 + 94090000 = 10892^2 + 9700^2 .

It is not an unprimeable number, because it can be changed into a prime (212725663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321494 + ... + 322154.

Almost surely, 2212725664 is an apocalyptic number.

It is an amenable number.

212725664 is an abundant number, since it is smaller than the sum of its proper divisors (215177896).

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

212725664 is a wasteful number, since it uses less digits than its factorization.

212725664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 212725664 is about 14585.1178946212. The cubic root of 212725664 is about 596.9527574620.

The spelling of 212725664 in words is "two hundred twelve million, seven hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 89 113 178 226 356 452 661 712 904 1322 1424 1808 2644 2848 3616 5288 10057 10576 20114 21152 40228 58829 74693 80456 117658 149386 160912 235316 298772 321824 470632 597544 941264 1195088 1882528 2390176 6647677 13295354 26590708 53181416 106362832 212725664