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2321142252 = 22311132946643
BaseRepresentation
bin1000101001011001…
…1101000111101100
312222202122020120120
42022112131013230
514223203023002
61022154044540
7111343245402
oct21226350754
95882566516
102321142252
11a91251590
12549419750
132acb68470
141803b3472
15d8b9acbc
hex8a59d1ec

2321142252 has 96 divisors (see below), whose sum is σ = 6582401280. Its totient is φ = 626868480.

The previous prime is 2321142251. The next prime is 2321142269. The reversal of 2321142252 is 2522411232.

2321142252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2321142251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26443 + ... + 73085.

It is an arithmetic number, because the mean of its divisors is an integer number (68566680).

Almost surely, 22321142252 is an apocalyptic number.

2321142252 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 2321142252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291200640).

2321142252 is an abundant number, since it is smaller than the sum of its proper divisors (4261259028).

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

2321142252 is a wasteful number, since it uses less digits than its factorization.

2321142252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46703 (or 46701 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2321142252 is about 48178.2342142175. The cubic root of 2321142252 is about 1324.0384150797.

Adding to 2321142252 its reverse (2522411232), we get a palindrome (4843553484).

The spelling of 2321142252 in words is "two billion, three hundred twenty-one million, one hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 286 319 348 377 429 572 638 754 858 957 1131 1276 1508 1716 1914 2262 3828 4147 4524 8294 12441 16588 24882 46643 49764 93286 139929 186572 279858 513073 559716 606359 1026146 1212718 1352647 1539219 1819077 2052292 2425436 2705294 3078438 3638154 4057941 5410588 6156876 6669949 7276308 8115882 13339898 14879117 16231764 17584411 20009847 26679796 29758234 35168822 40019694 44637351 52753233 59516468 70337644 80039388 89274702 105506466 178549404 193428521 211012932 386857042 580285563 773714084 1160571126 2321142252