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252112340322 = 233171193230203
BaseRepresentation
bin1110101011001100010…
…0010000010101100010
3220002202010211212022000
43222303010100111202
513112311224342242
6311452510224430
724133402351233
oct3526304202542
9802663755260
10252112340322
1197a13930857
1240a3bab5116
131aa0a8aa8cb
14c2b919108a
1568584bca4c
hex3ab3110562

252112340322 has 64 divisors (see below), whose sum is σ = 593705324160. Its totient is φ = 79027425792.

The previous prime is 252112340321. The next prime is 252112340329. The reversal of 252112340322 is 223043211252.

252112340322 is a `hidden beast` number, since 2 + 5 + 211 + 23 + 403 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252112340321) 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, 980073 + ... + 1210275.

It is an arithmetic number, because the mean of its divisors is an integer number (9276645690).

Almost surely, 2252112340322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252112340322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296852662080).

252112340322 is an abundant number, since it is smaller than the sum of its proper divisors (341592983838).

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

252112340322 is a wasteful number, since it uses less digits than its factorization.

252112340322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231424 (or 231418 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 252112340322 its reverse (223043211252), we get a palindrome (475155551574).

The spelling of 252112340322 in words is "two hundred fifty-two billion, one hundred twelve million, three hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1193 2386 3579 7158 10737 20281 21474 32211 40562 60843 64422 121686 182529 230203 365058 460406 547587 690609 1095174 1381218 2071827 3913451 4143654 6215481 7826902 11740353 12430962 23480706 35221059 70442118 105663177 211326354 274632179 549264358 823896537 1647793074 2471689611 4668747043 4943379222 7415068833 9337494086 14006241129 14830137666 28012482258 42018723387 84037446774 126056170161 252112340322