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212320944 = 243211311431
BaseRepresentation
bin11001010011111…
…00001010110000
3112210112000120200
430221330022300
5413323232234
633022435200
75155461333
oct1451741260
9483460520
10212320944
11a9938960
125b132b00
1334cac3c4
14202ac61a
151398ed99
hexca7c2b0

212320944 has 120 divisors (see below), whose sum is σ = 651815424. Its totient is φ = 63984000.

The previous prime is 212320921. The next prime is 212320951. The reversal of 212320944 is 449023212.

It is a super-2 number, since 2×2123209442 = 90160366522102272, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 492409 + ... + 492839.

Almost surely, 2212320944 is an apocalyptic number.

212320944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212320944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325907712).

212320944 is an abundant number, since it is smaller than the sum of its proper divisors (439494480).

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

212320944 is a wasteful number, since it uses less digits than its factorization.

212320944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 212320944 is about 14571.2368726886. The cubic root of 212320944 is about 596.5739407660.

The spelling of 212320944 in words is "two hundred twelve million, three hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 311 396 431 528 622 792 862 933 1244 1293 1584 1724 1866 2488 2586 2799 3421 3448 3732 3879 4741 4976 5172 5598 6842 6896 7464 7758 9482 10263 10344 11196 13684 14223 14928 15516 18964 20526 20688 22392 27368 28446 30789 31032 37928 41052 42669 44784 54736 56892 61578 62064 75856 82104 85338 113784 123156 134041 164208 170676 227568 246312 268082 341352 402123 492624 536164 682704 804246 1072328 1206369 1474451 1608492 2144656 2412738 2948902 3216984 4423353 4825476 5897804 6433968 8846706 9650952 11795608 13270059 17693412 19301904 23591216 26540118 35386824 53080236 70773648 106160472 212320944