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212755968 = 293246171
BaseRepresentation
bin11001010111001…
…10011000000000
3112211100010022200
430223212120000
5413431142333
633040033200
75162252535
oct1453463000
9484303280
10212755968
11aa105787
125b302800
1335102409
1420382d8c
1513a28c13
hexcae6600

212755968 has 60 divisors (see below), whose sum is σ = 614041428. Its totient is φ = 70917120.

The previous prime is 212755967. The next prime is 212755987. The reversal of 212755968 is 869557212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212755967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18478 + ... + 27693.

Almost surely, 2212755968 is an apocalyptic number.

It is an amenable number.

212755968 is an abundant number, since it is smaller than the sum of its proper divisors (401285460).

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

212755968 is an equidigital number, since it uses as much as digits as its factorization.

212755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46195 (or 46176 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 212755968 is about 14586.1567247853. The cubic root of 212755968 is about 596.9811025726.

The spelling of 212755968 in words is "two hundred twelve million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 46171 92342 138513 184684 277026 369368 415539 554052 738736 831078 1108104 1477472 1662156 2216208 2954944 3324312 4432416 5909888 6648624 8864832 11819776 13297248 17729664 23639552 26594496 35459328 53188992 70918656 106377984 212755968