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253229256 = 23327271777
BaseRepresentation
bin11110001011111…
…11100011001000
3122122111101020100
433011333203020
51004311314011
641043325400
76163261500
oct1705774310
9578441210
10253229256
1111aa39985
1270980860
13406034c7
14258baa00
1517370d56
hexf17f8c8

253229256 has 72 divisors (see below), whose sum is σ = 797812470. Its totient is φ = 72350208.

The previous prime is 253229219. The next prime is 253229261. The reversal of 253229256 is 652922352.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 197964900 + 55264356 = 14070^2 + 7434^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253229256.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32361 + ... + 39416.

Almost surely, 2253229256 is an apocalyptic number.

It is an amenable number.

253229256 is an abundant number, since it is smaller than the sum of its proper divisors (544583214).

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

253229256 is a wasteful number, since it uses less digits than its factorization.

253229256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71803 (or 71789 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 253229256 is about 15913.1786893757. The cubic root of 253229256 is about 632.6613343800.

The spelling of 253229256 in words is "two hundred fifty-three million, two hundred twenty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 71777 143554 215331 287108 430662 502439 574216 645993 861324 1004878 1291986 1507317 1722648 2009756 2583972 3014634 3517073 4019512 4521951 5167944 6029268 7034146 9043902 10551219 12058536 14068292 18087804 21102438 28136584 31653657 36175608 42204876 63307314 84409752 126614628 253229256