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212157312 = 273552493
BaseRepresentation
bin11001010010101…
…00001110000000
3112210012201010020
430221110032000
5413303013222
633015133440
75154210303
oct1451241600
9483181106
10212157312
11a9836a24
125b074280
1334c52a93
1420268b3a
151395b65c
hexca54380

212157312 has 32 divisors (see below), whose sum is σ = 563543880. Its totient is φ = 70718976.

The previous prime is 212157311. The next prime is 212157317. The reversal of 212157312 is 213751212.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212157311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275863 + ... + 276630.

Almost surely, 2212157312 is an apocalyptic number.

It is an amenable number.

212157312 is an abundant number, since it is smaller than the sum of its proper divisors (351386568).

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

212157312 is an equidigital number, since it uses as much as digits as its factorization.

212157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552510 (or 552498 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 212157312 is about 14565.6208930481. The cubic root of 212157312 is about 596.4206450468.

The spelling of 212157312 in words is "two hundred twelve million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 552493 1104986 1657479 2209972 3314958 4419944 6629916 8839888 13259832 17679776 26519664 35359552 53039328 70719104 106078656 212157312