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22133213504 = 2610313612467
BaseRepresentation
bin10100100111001111…
…100000100101000000
32010010111112202001022
4110213033200211000
5330312100313004
614100131325012
71412324132153
oct244717404500
963114482038
1022133213504
119428692996
124358450768
13211962434c
1410dd739c9a
158981942be
hex5273e0940

22133213504 has 56 divisors (see below), whose sum is σ = 44397582528. Its totient is φ = 10946672640.

The previous prime is 22133213503. The next prime is 22133213533. The reversal of 22133213504 is 40531233122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133213503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8970479 + ... + 8972945.

Almost surely, 222133213504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198791264).

22133213504 is an abundant number, since it is smaller than the sum of its proper divisors (22264369024).

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

22133213504 is a wasteful number, since it uses less digits than its factorization.

22133213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 22133213504 its reverse (40531233122), we get a palindrome (62664446626).

The spelling of 22133213504 in words is "twenty-two billion, one hundred thirty-three million, two hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1361 1648 2467 2722 3296 4934 5444 6592 9868 10888 19736 21776 39472 43552 78944 87104 140183 157888 254101 280366 508202 560732 1016404 1121464 2032808 2242928 3357587 4065616 4485856 6715174 8131232 8971712 13430348 16262464 26860696 53721392 107442784 214885568 345831461 691662922 1383325844 2766651688 5533303376 11066606752 22133213504