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22435202142225 = 345254631202799
BaseRepresentation
bin1010001100111100110100…
…10000010001000000010001
32221102210011210220211120000
411012132122100101000101
510420034243222022400
6115414331203240213
74503614136503145
oct506363220210021
987383153824500
1022435202142225
11716a7967a7744
122624113979069
13c698272344a2
14577c26199225
1528d8cee1b600
hex14679a411011

22435202142225 has 60 divisors (see below), whose sum is σ = 41558715369600. Its totient is φ = 11965163119200.

The previous prime is 22435202142211. The next prime is 22435202142271. The reversal of 22435202142225 is 52224120253422.

22435202142225 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 5 + 202 + 1 + 422 + 25 = 666.

It is not a de Polignac number, because 22435202142225 - 210 = 22435202141201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22435202142225.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 110526376 + ... + 110729174.

It is an arithmetic number, because the mean of its divisors is an integer number (692645256160).

Almost surely, 222435202142225 is an apocalyptic number.

22435202142225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22435202142225 is a deficient number, since it is larger than the sum of its proper divisors (19123513227375).

22435202142225 is a wasteful number, since it uses less digits than its factorization.

22435202142225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257452 (or 257438 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 22435202142225 its reverse (52224120253422), we get a palindrome (74659322395647).

The spelling of 22435202142225 in words is "twenty-two trillion, four hundred thirty-five billion, two hundred two million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 54631 163893 202799 273155 491679 608397 819465 1013995 1365775 1475037 1825191 2458395 3041985 4097325 4425111 5069975 5475573 7375185 9125955 12291975 15209925 16426719 22125555 27377865 36875925 45629775 82133595 110627775 136889325 410667975 11079112169 33237336507 55395560845 99712009521 166186682535 276977804225 299136028563 498560047605 830933412675 897408085689 1495680142815 2492800238025 4487040428445 7478400714075 22435202142225