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212038992 = 24331144621
BaseRepresentation
bin11001010001101…
…11010101010000
3112202222200211000
430220313111100
5413240221432
633012422000
75153205324
oct1450672520
9482880730
10212038992
11a9766040
125b017900
1334c10c79
1420237984
151393657c
hexca37550

212038992 has 80 divisors (see below), whose sum is σ = 663975360. Its totient is φ = 64252800.

The previous prime is 212038991. The next prime is 212038997. The reversal of 212038992 is 299830212.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212038991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17559 + ... + 27062.

It is an arithmetic number, because the mean of its divisors is an integer number (8299692).

Almost surely, 2212038992 is an apocalyptic number.

212038992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212038992 is an abundant number, since it is smaller than the sum of its proper divisors (451936368).

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

212038992 is a wasteful number, since it uses less digits than its factorization.

212038992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44649 (or 44637 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 212038992 is about 14561.5587077758. The cubic root of 212038992 is about 596.3097499555.

The spelling of 212038992 in words is "two hundred twelve million, thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 44621 89242 133863 178484 267726 356968 401589 490831 535452 713936 803178 981662 1070904 1204767 1472493 1606356 1963324 2141808 2409534 2944986 3212712 3926648 4417479 4819068 5889972 6425424 7853296 8834958 9638136 11779944 13252437 17669916 19276272 23559888 26504874 35339832 53009748 70679664 106019496 212038992