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212252720 = 2453771707
BaseRepresentation
bin11001010011010…
…11100000110000
3112210101112222212
430221223200300
5413314041340
633021151252
75155055411
oct1451534060
9483345885
10212252720
11a98a1679
125b0bb528
1334c87334
1420291808
1513979a65
hexca6b830

212252720 has 40 divisors (see below), whose sum is σ = 506832144. Its totient is φ = 82605312.

The previous prime is 212252699. The next prime is 212252731. The reversal of 212252720 is 27252212.

It is a tau number, because it is divible by the number of its divisors (40).

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, 32894 + ... + 38813.

Almost surely, 2212252720 is an apocalyptic number.

212252720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212252720 is an abundant number, since it is smaller than the sum of its proper divisors (294579424).

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

212252720 is a wasteful number, since it uses less digits than its factorization.

212252720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71757 (or 71751 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 212252720 is about 14568.8956341927. The cubic root of 212252720 is about 596.5100359059.

The spelling of 212252720 in words is "two hundred twelve million, two hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 71707 143414 286828 358535 573656 717070 1147312 1434140 2653159 2868280 5306318 5736560 10612636 13265795 21225272 26531590 42450544 53063180 106126360 212252720