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22234132200 = 233527223131251
BaseRepresentation
bin10100101101010000…
…011110111011101000
32010101112102221110210
4110231100132323220
5331013414212300
614114134341120
71414661001600
oct245520367350
963345387423
1022234132200
11947a651675
1243861ba7a0
1321344ca057
14110ccc9c00
158a1e7b050
hex52d41eee8

22234132200 has 576 divisors, whose sum is σ = 84639582720. Its totient is φ = 4804800000.

The previous prime is 22234132153. The next prime is 22234132211. The reversal of 22234132200 is 223143222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88582075 + ... + 88582325.

It is an arithmetic number, because the mean of its divisors is an integer number (146943720).

Almost surely, 222234132200 is an apocalyptic number.

22234132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22234132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319791360).

22234132200 is an abundant number, since it is smaller than the sum of its proper divisors (62405450520).

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

22234132200 is a wasteful number, since it uses less digits than its factorization.

22234132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22234132200 its reverse (223143222), we get a palindrome (22457275422).

It can be divided in two parts, 222341 and 32200, that added together give a triangular number (254541 = T713).

The spelling of 22234132200 in words is "twenty-two billion, two hundred thirty-four million, one hundred thirty-two thousand, two hundred".