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2322133120 = 27531117043
BaseRepresentation
bin1000101001101000…
…1111000010000000
312222211111120210101
42022122033002000
514223431224440
61022231212144
7111354543256
oct21232170200
95884446711
102322133120
11a91868a8a
12549817054
132b0124488
141805905d6
15d8ce469a
hex8a68f080

2322133120 has 64 divisors (see below), whose sum is σ = 5730474240. Its totient is φ = 898882560.

The previous prime is 2322133111. The next prime is 2322133133. The reversal of 2322133120 is 213312232.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38682 + ... + 78361.

It is an arithmetic number, because the mean of its divisors is an integer number (89538660).

Almost surely, 22322133120 is an apocalyptic number.

2322133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322133120 is an abundant number, since it is smaller than the sum of its proper divisors (3408341120).

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

2322133120 is a wasteful number, since it uses less digits than its factorization.

2322133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117093 (or 117081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2322133120 is about 48188.5164743635. The cubic root of 2322133120 is about 1324.2267936901.

Adding to 2322133120 its reverse (213312232), we get a palindrome (2535445352).

The spelling of 2322133120 in words is "two billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 117043 234086 468172 585215 936344 1170430 1872688 2340860 3628333 3745376 4681720 7256666 7490752 9363440 14513332 14981504 18141665 18726880 29026664 36283330 37453760 58053328 72566660 74907520 116106656 145133320 232213312 290266640 464426624 580533280 1161066560 2322133120