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322212864 = 2103531979
BaseRepresentation
bin10011001101001…
…001010000000000
3211110022002221210
4103031021100000
51124441302424
651550050120
710661523051
oct2315112000
9743262853
10322212864
11155976326
128baa9940
13519a74cc
1430b16728
151d44a729
hex13349400

322212864 has 88 divisors (see below), whose sum is σ = 875460960. Its totient is φ = 105324544.

The previous prime is 322212859. The next prime is 322212901. The reversal of 322212864 is 468212223.

It is a super-2 number, since 2×3222128642 = 207642259454164992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 161827 + ... + 163805.

It is an arithmetic number, because the mean of its divisors is an integer number (9948420).

Almost surely, 2322212864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437730480).

322212864 is an abundant number, since it is smaller than the sum of its proper divisors (553248096).

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

322212864 is a wasteful number, since it uses less digits than its factorization.

322212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2037 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 322212864 is about 17950.2886884863. The cubic root of 322212864 is about 685.5634017227.

The spelling of 322212864 in words is "three hundred twenty-two million, two hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 1979 2544 3072 3392 3958 5088 5937 6784 7916 10176 11874 13568 15832 20352 23748 27136 31664 40704 47496 54272 63328 81408 94992 104887 126656 162816 189984 209774 253312 314661 379968 419548 506624 629322 759936 839096 1013248 1258644 1519872 1678192 2026496 2517288 3039744 3356384 5034576 6079488 6712768 10069152 13425536 20138304 26851072 40276608 53702144 80553216 107404288 161106432 322212864