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231450252 = 22311343337
BaseRepresentation
bin11011100101110…
…10011010001100
3121010111220001120
431302322122030
5433222402002
634544440540
75510203035
oct1562723214
9533456046
10231450252
11109714000
1265619150
1338c49417
1422a4ba8c
15154bccbc
hexdcba68c

231450252 has 96 divisors (see below), whose sum is σ = 609633024. Its totient is φ = 68302080.

The previous prime is 231450187. The next prime is 231450269. The reversal of 231450252 is 252054132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686628 + ... + 686964.

It is an arithmetic number, because the mean of its divisors is an integer number (6350344).

Almost surely, 2231450252 is an apocalyptic number.

231450252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231450252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304816512).

231450252 is an abundant number, since it is smaller than the sum of its proper divisors (378182772).

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

231450252 is a wasteful number, since it uses less digits than its factorization.

231450252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 231450252 is about 15213.4891461492. The cubic root of 231450252 is about 613.9776364371.

It can be divided in two parts, 231450 and 252, that multiplied together give a triangular number (58325400 = T10800).

The spelling of 231450252 in words is "two hundred thirty-one million, four hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 121 129 132 172 242 258 337 363 473 484 516 674 726 946 1011 1331 1348 1419 1452 1892 2022 2662 2838 3707 3993 4044 5203 5324 5676 7414 7986 10406 11121 14491 14828 15609 15972 20812 22242 28982 31218 40777 43473 44484 57233 57964 62436 81554 86946 114466 122331 159401 163108 171699 173892 228932 244662 318802 343398 448547 478203 489324 637604 686796 897094 956406 1345641 1753411 1794188 1912812 2691282 3506822 5260233 5382564 7013644 10520466 19287521 21040932 38575042 57862563 77150084 115725126 231450252