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253114302 = 23721276779
BaseRepresentation
bin11110001011000…
…11011110111110
3122122021112112210
433011203132332
51004244124202
641041041250
76162302400
oct1705433676
9578245483
10253114302
1111a970581
1270926226
134059309c
142588ab70
151734bc6c
hexf1637be

253114302 has 48 divisors (see below), whose sum is σ = 593602560. Its totient is φ = 71738352.

The previous prime is 253114249. The next prime is 253114319. The reversal of 253114302 is 203411352.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33949 + ... + 40727.

It is an arithmetic number, because the mean of its divisors is an integer number (12366720).

Almost surely, 2253114302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253114302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296801280).

253114302 is an abundant number, since it is smaller than the sum of its proper divisors (340488258).

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

253114302 is a wasteful number, since it uses less digits than its factorization.

253114302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253114302 is about 15909.5663674407. The cubic root of 253114302 is about 632.5655872037.

Adding to 253114302 its reverse (203411352), we get a palindrome (456525654).

The spelling of 253114302 in words is "two hundred fifty-three million, one hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 381 762 889 1778 2667 5334 6223 6779 12446 13558 18669 20337 37338 40674 47453 94906 142359 284718 332171 664342 860933 996513 1721866 1993026 2582799 5165598 6026531 12053062 18079593 36159186 42185717 84371434 126557151 253114302