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252297255060 = 22335795914141
BaseRepresentation
bin1110101011111000010…
…1101001100010010100
3220010020000210111122000
43222332011221202110
513113201044130220
6311523113435300
724141106166244
oct3527605514224
9803200714560
10252297255060
1197aa924aa54
1240a91a0bb30
131aa39cb2806
14c2d5967b24
156869847390
hex3abe169894

252297255060 has 96 divisors (see below), whose sum is σ = 794860684800. Its totient is φ = 66427620480.

The previous prime is 252297255053. The next prime is 252297255071. The reversal of 252297255060 is 60552792252.

252297255060 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 97 + 2 + 550 + 6 + 0 = 666.

252297255060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 252297254997 and 252297255015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2914411 + ... + 2999730.

It is an arithmetic number, because the mean of its divisors is an integer number (8279798800).

Almost surely, 2252297255060 is an apocalyptic number.

252297255060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252297255060 is an abundant number, since it is smaller than the sum of its proper divisors (542563429740).

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

252297255060 is a wasteful number, since it uses less digits than its factorization.

252297255060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914238 (or 5914230 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 252297255060 in words is "two hundred fifty-two billion, two hundred ninety-seven million, two hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 5914141 11828282 17742423 23656564 29570705 35484846 53227269 59141410 70969692 88712115 106454538 118282820 159681807 177424230 212909076 266136345 319363614 354848460 467217139 532272690 638727228 798409035 934434278 1064545380 1401651417 1596818070 1868868556 2336085695 2803302834 3193636140 4204954251 4672171390 5606605668 7008257085 8409908502 9344342780 12614862753 14016514170 16819817004 21024771255 25229725506 28033028340 42049542510 50459451012 63074313765 84099085020 126148627530 252297255060