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252122255406 = 23275233825947
BaseRepresentation
bin1110101011001110101…
…0000101000000101110
3220002202211111121020100
43222303222011000232
513112321244133111
6311453502531530
724133552545210
oct3526352050056
9802684447210
10252122255406
1197a1949313a
1240a43296ba6
131aa0c96c918
14c2ba6125b0
1568592ca756
hex3ab3a8502e

252122255406 has 48 divisors (see below), whose sum is σ = 625496586624. Its totient is φ = 71897177232.

The previous prime is 252122255401. The next prime is 252122255443. The reversal of 252122255406 is 604552221252.

252122255406 is a `hidden beast` number, since 2 + 5 + 21 + 2 + 225 + 5 + 406 = 666.

252122255406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252122255401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1847076 + ... + 1978871.

It is an arithmetic number, because the mean of its divisors is an integer number (13031178888).

Almost surely, 2252122255406 is an apocalyptic number.

252122255406 is an abundant number, since it is smaller than the sum of its proper divisors (373374331218).

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

252122255406 is a wasteful number, since it uses less digits than its factorization.

252122255406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826485 (or 3826482 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 252122255406 its reverse (604552221252), we get a palindrome (856674476658).

It can be divided in two parts, 252122 and 255406, that added together give a triangular number (507528 = T1007).

The spelling of 252122255406 in words is "two hundred fifty-two billion, one hundred twenty-two million, two hundred fifty-five thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 523 1046 1569 3138 3661 4707 7322 9414 10983 21966 32949 65898 3825947 7651894 11477841 22955682 26781629 34433523 53563258 68867046 80344887 160689774 241034661 482069322 2000970281 4001940562 6002910843 12005821686 14006791967 18008732529 28013583934 36017465058 42020375901 84040751802 126061127703 252122255406