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22132000230 = 2355340934033
BaseRepresentation
bin10100100111001010…
…111000010111100110
32010010102021002202020
4110213022320113212
5330311243001410
614100045324010
71412310620004
oct244712702746
963112232666
1022132000230
119427a3438a
124357b66606
1321192bb032
1410dd501a74
15898004a70
hex5272b85e6

22132000230 has 64 divisors (see below), whose sum is σ = 54252918720. Its totient is φ = 5776183296.

The previous prime is 22132000199. The next prime is 22132000237. The reversal of 22132000230 is 3200023122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132000237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633294 + ... + 667326.

It is an arithmetic number, because the mean of its divisors is an integer number (847701855).

Almost surely, 222132000230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27126459360).

22132000230 is an abundant number, since it is smaller than the sum of its proper divisors (32120918490).

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

22132000230 is a wasteful number, since it uses less digits than its factorization.

22132000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34505.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22132000230 its reverse (3200023122), we get a palindrome (25332023352).

The spelling of 22132000230 in words is "twenty-two billion, one hundred thirty-two million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 409 530 795 818 1227 1590 2045 2454 4090 6135 12270 21677 34033 43354 65031 68066 102099 108385 130062 170165 204198 216770 325155 340330 510495 650310 1020990 1803749 3607498 5411247 9018745 10822494 13919497 18037490 27056235 27838994 41758491 54112470 69597485 83516982 139194970 208792455 417584910 737733341 1475466682 2213200023 3688666705 4426400046 7377333410 11066000115 22132000230