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22324214340 = 22325124023413
BaseRepresentation
bin10100110010101000…
…000111101001000100
32010121210221120221100
4110302220013221010
5331204444324330
614131113220100
71420133456001
oct246250075104
963553846840
1022324214340
11951648971a
1243b0401630
13214a07a4ac
14111ac588a8
158a9d22060
hex532a07a44

22324214340 has 36 divisors (see below), whose sum is σ = 67716784044. Its totient is φ = 5953123776.

The previous prime is 22324214327. The next prime is 22324214371. The reversal of 22324214340 is 4341242322.

22324214340 is a `hidden beast` number, since 2 + 232 + 421 + 4 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12050770176 + 10273444164 = 109776^2 + 101358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×223242143403 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62011527 + ... + 62011886.

It is an arithmetic number, because the mean of its divisors is an integer number (1881021779).

Almost surely, 222324214340 is an apocalyptic number.

22324214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22324214340 is an abundant number, since it is smaller than the sum of its proper divisors (45392569704).

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

22324214340 is a wasteful number, since it uses less digits than its factorization.

22324214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124023428 (or 124023423 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22324214340 its reverse (4341242322), we get a palindrome (26665456662).

The spelling of 22324214340 in words is "twenty-two billion, three hundred twenty-four million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 124023413 248046826 372070239 496093652 620117065 744140478 1116210717 1240234130 1488280956 1860351195 2232421434 2480468260 3720702390 4464842868 5581053585 7441404780 11162107170 22324214340