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252322330 = 2513172931127
BaseRepresentation
bin11110000101000…
…10001000011010
3122120210022011111
433002202020122
51004043303310
641012050534
76152463421
oct1702421032
9576708144
10252322330
1111a47a557
1270603a4a
1340376770
14257222b8
151724228a
hexf0a221a

252322330 has 128 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 81285120.

The previous prime is 252322327. The next prime is 252322331. The reversal of 252322330 is 33223252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252322331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1986727 + ... + 1986853.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2252322330 is an apocalyptic number.

252322330 is an abundant number, since it is smaller than the sum of its proper divisors (305061350).

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

252322330 is a wasteful number, since it uses less digits than its factorization.

252322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 252322330 is about 15884.6570627131. The cubic root of 252322330 is about 631.9051508704.

Adding to 252322330 its reverse (33223252), we get a palindrome (285545582).

The spelling of 252322330 in words is "two hundred fifty-two million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 29 31 34 58 62 65 85 127 130 145 155 170 221 254 290 310 377 403 442 493 527 635 754 806 899 986 1054 1105 1270 1651 1798 1885 2015 2159 2210 2465 2635 3302 3683 3770 3937 4030 4318 4495 4930 5270 6409 6851 7366 7874 8255 8990 10795 11687 12818 13702 15283 16510 18415 19685 21590 23374 28067 30566 32045 34255 36830 39370 47879 51181 56134 58435 62611 64090 66929 68510 76415 95758 102362 114173 116870 125222 133858 140335 152830 198679 228346 239395 255905 280670 313055 334645 397358 478790 511810 570865 626110 669290 813943 870077 993395 1141730 1484249 1627886 1740154 1940941 1986790 2968498 3881882 4069715 4350385 7421245 8139430 8700770 9704705 14842490 19409410 25232233 50464466 126161165 252322330