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223636019328 = 2732139332
BaseRepresentation
bin1101000001000110111…
…1101101100010000000
3210101020120121212120200
43100101233231202000
512131001310104303
6250423104005200
722104623541231
oct3202157554200
9711216555520
10223636019328
1186930780377
1237413300800
13181200a8927
14ab77251088
155c3d5193a3
hex3411bed880

223636019328 has 72 divisors (see below), whose sum is σ = 643582132245. Its totient is φ = 74539989504.

The previous prime is 223636019287. The next prime is 223636019329. The reversal of 223636019328 is 823910636322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

223636019328 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 3 + 601 + 9 + 32 + 8 = 666.

223636019328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123167306304 + 100468713024 = 350952^2 + 316968^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334392.

It is not an unprimeable number, because it can be changed into a prime (223636019329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16043850 + ... + 16057782.

Almost surely, 2223636019328 is an apocalyptic number.

It is an amenable number.

223636019328 is an abundant number, since it is smaller than the sum of its proper divisors (419946112917).

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

223636019328 is an frugal number, since it uses more digits than its factorization.

223636019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27886 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 223636019328 in words is "two hundred twenty-three billion, six hundred thirty-six million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 13933 27866 41799 55732 83598 111464 125397 167196 222928 250794 334392 445856 501588 668784 891712 1003176 1337568 1783424 2006352 2675136 4012704 5350272 8025408 16050816 194128489 388256978 582385467 776513956 1164770934 1553027912 1747156401 2329541868 3106055824 3494312802 4659083736 6212111648 6988625604 9318167472 12424223296 13977251208 18636334944 24848446592 27954502416 37272669888 55909004832 74545339776 111818009664 223636019328