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252002212441 = 71997131149111
BaseRepresentation
bin1110101010110010000…
…0001001101001011001
3220002110110121210020121
43222230200021221121
513112100031244231
6311433533553241
724130564314550
oct3525440115131
9802413553217
10252002212441
1197967752081
1240a0b045821
131a9c0b2c295
14c2a86c4d97
15684d9b7311
hex3aac809a59

252002212441 has 32 divisors (see below), whose sum is σ = 308626053120. Its totient is φ = 200976422400.

The previous prime is 252002212439. The next prime is 252002212453. The reversal of 252002212441 is 144212200252.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 252002212441 - 21 = 252002212439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252002212411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1615476 + ... + 1764586.

It is an arithmetic number, because the mean of its divisors is an integer number (9644564160).

Almost surely, 2252002212441 is an apocalyptic number.

It is an amenable number.

252002212441 is a deficient number, since it is larger than the sum of its proper divisors (56623840679).

252002212441 is a wasteful number, since it uses less digits than its factorization.

252002212441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149365.

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 252002212441 its reverse (144212200252), we get a palindrome (396214412693).

The spelling of 252002212441 in words is "two hundred fifty-two billion, two million, two hundred twelve thousand, four hundred forty-one".

Divisors: 1 7 19 97 131 133 679 917 1843 2489 12707 12901 17423 88949 149111 241433 1043777 1690031 2833109 14463767 19533541 19831763 101246369 136734787 274811573 371137279 1894753477 1923681011 2597960953 13263274339 36000316063 252002212441