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22424034100 = 22521382320959
BaseRepresentation
bin10100111000100100…
…111001101100110100
32010212202202221220111
4110320210321230310
5331411023042400
614145040512404
71422455100466
oct247044715464
963782687814
1022424034100
119567867796
12441991b704
132164959c40
14112a200136
158b398d3ba
hex538939b34

22424034100 has 72 divisors (see below), whose sum is σ = 52469419520. Its totient is φ = 8269188480.

The previous prime is 22424034091. The next prime is 22424034103. The reversal of 22424034100 is 143042422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424034103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059421 + ... + 1080379.

Almost surely, 222424034100 is an apocalyptic number.

22424034100 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 22424034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234709760).

22424034100 is an abundant number, since it is smaller than the sum of its proper divisors (30045385420).

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

22424034100 is a wasteful number, since it uses less digits than its factorization.

22424034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21809 (or 21802 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22424034100 its reverse (143042422), we get a palindrome (22567076522).

The spelling of 22424034100 in words is "twenty-two billion, four hundred twenty-four million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 823 1300 1646 3292 4115 8230 10699 16460 20575 20959 21398 41150 41918 42796 53495 82300 83836 104795 106990 209590 213980 267475 272467 419180 523975 534950 544934 1047950 1069900 1089868 1362335 2095900 2724670 5449340 6811675 13623350 17249257 27246700 34498514 68997028 86246285 172492570 224240341 344985140 431231425 448480682 862462850 896961364 1121201705 1724925700 2242403410 4484806820 5606008525 11212017050 22424034100