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192257044232 = 231121728292
BaseRepresentation
bin1011001100001101101…
…0011010111100001000
3200101020201112202222212
42303003122122330020
511122220300403412
6224153251404252
716614210624641
oct2630332327410
9611221482885
10192257044232
11745990a8a00
12313165b3688
131518c116b46
14943ba086c8
155003800222
hex2cc369af08

192257044232 has 108 divisors (see below), whose sum is σ = 421419405015. Its totient is φ = 82149788160.

The previous prime is 192257044201. The next prime is 192257044261. The reversal of 192257044232 is 232440752291.

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 5 ways, for example, as 161149256356 + 31107787876 = 401434^2 + 176374^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=310046.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 192257044232.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 231913994 + ... + 231914822.

Almost surely, 2192257044232 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 192257044232

192257044232 is an abundant number, since it is smaller than the sum of its proper divisors (229162360783).

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

192257044232 is an equidigital number, since it uses as much as digits as its factorization.

192257044232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 192257044232 in words is "one hundred ninety-two billion, two hundred fifty-seven million, forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 289 374 484 578 748 829 968 1156 1496 1658 2057 2312 3179 3316 4114 6358 6632 8228 9119 12716 14093 16456 18238 25432 28186 34969 36476 56372 69938 72952 100309 112744 139876 155023 200618 239581 279752 310046 401236 479162 620092 687241 802472 958324 1240184 1374482 1705253 1916648 2635391 2748964 3410506 5270782 5497928 6821012 7559651 10541564 11683097 13642024 15119302 21083128 23366194 28989301 30238604 46732388 57978602 60477208 83156161 93464776 115957204 128514067 166312322 198612649 231914408 257028134 332624644 397225298 514056268 665249288 794450596 1028112536 1413654737 1588901192 2184739139 2827309474 4369478278 5654618948 8738956556 11309237896 17477913112 24032130529 48064261058 96128522116 192257044232