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253222413140 = 225315373105563
BaseRepresentation
bin1110101111010100111…
…0110110001101010100
3220012121111122101221002
43223311032312031110
513122044414210030
6312155003042432
724203041666154
oct3536516661524
9805544571832
10253222413140
11984334a5a04
12410ab810418
131ab56877328
14c382792764
1568c0b93245
hex3af53b6354

253222413140 has 96 divisors (see below), whose sum is σ = 566944551936. Its totient is φ = 94853790720.

The previous prime is 253222413137. The next prime is 253222413247. The reversal of 253222413140 is 41314222352.

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, 2345999 + ... + 2451561.

It is an arithmetic number, because the mean of its divisors is an integer number (5905672416).

Almost surely, 2253222413140 is an apocalyptic number.

253222413140 is a gapful number since it is divisible by the number (20) 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 253222413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283472275968).

253222413140 is an abundant number, since it is smaller than the sum of its proper divisors (313722138796).

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

253222413140 is a wasteful number, since it uses less digits than its factorization.

253222413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105729 (or 105727 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 253222413140 its reverse (41314222352), we get a palindrome (294536635492).

The spelling of 253222413140 in words is "two hundred fifty-three billion, two hundred twenty-two million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 53 62 73 106 124 146 155 212 265 292 310 365 530 620 730 1060 1460 1643 2263 3286 3869 4526 6572 7738 8215 9052 11315 15476 16430 19345 22630 32860 38690 45260 77380 105563 119939 211126 239878 422252 479756 527815 599695 1055630 1199390 2111260 2398780 3272453 5594839 6544906 7706099 11189678 13089812 15412198 16362265 22379356 27974195 30824396 32724530 38530495 55948390 65449060 77060990 111896780 154121980 173440009 238889069 346880018 408423247 477778138 693760036 816846494 867200045 955556276 1194445345 1633692988 1734400090 2042116235 2388890690 3468800180 4084232470 4777781380 8168464940 12661120657 25322241314 50644482628 63305603285 126611206570 253222413140