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223384627232 = 2513264272
BaseRepresentation
bin1101000000001011000…
…0101110100000100000
3210100121001120211110022
43100002300232200200
512124442431032412
6250342123453012
722065452000534
oct3200260564040
9710531524408
10223384627232
1186811886808
1237363087168
13180acc99700
14ab51ad1bc4
155c2640ca72
hex3402c2e820

223384627232 has 54 divisors (see below), whose sum is σ = 476294775453. Its totient is φ = 103084555392.

The previous prime is 223384627201. The next prime is 223384627237. The reversal of 223384627232 is 232726483322.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 191000465296 + 32384161936 = 437036^2 + 179956^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334204.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223384627237) 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, 34754003 + ... + 34760429.

Almost surely, 2223384627232 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 223384627232

223384627232 is an abundant number, since it is smaller than the sum of its proper divisors (252910148221).

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

223384627232 is an frugal number, since it uses more digits than its factorization.

223384627232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12890 (or 6442 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 44.

The spelling of 223384627232 in words is "two hundred twenty-three billion, three hundred eighty-four million, six hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 6427 12854 25708 51416 83551 102832 167102 205664 334204 668408 1086163 1336816 2172326 2673632 4344652 8689304 17378608 34757216 41306329 82612658 165225316 330450632 536982277 660901264 1073964554 1321802528 2147929108 4295858216 6980769601 8591716432 13961539202 17183432864 27923078404 55846156808 111692313616 223384627232