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22555431120 = 2435721113033
BaseRepresentation
bin10101000000011010…
…001001000011010000
32011012221000121201210
4111000122021003100
5332143142243440
614210053100120
71425642000255
oct250032110320
964187017653
1022555431120
119624a53272
124455927640
132185c44561
14113d84542c
158c0295a80
hex5406890d0

22555431120 has 80 divisors (see below), whose sum is σ = 69936898752. Its totient is φ = 6013486080.

The previous prime is 22555431109. The next prime is 22555431121. The reversal of 22555431120 is 2113455522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22555431121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724124 + ... + 1737156.

Almost surely, 222555431120 is an apocalyptic number.

22555431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22555431120 is an abundant number, since it is smaller than the sum of its proper divisors (47381467632).

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

22555431120 is a wasteful number, since it uses less digits than its factorization.

22555431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20260 (or 20254 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 22555431120 its reverse (2113455522), we get a palindrome (24668886642).

The spelling of 22555431120 in words is "twenty-two billion, five hundred fifty-five million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7211 13033 14422 21633 26066 28844 36055 39099 43266 52132 57688 65165 72110 78198 86532 104264 108165 115376 130330 144220 156396 173064 195495 208528 216330 260660 288440 312792 346128 390990 432660 521320 576880 625584 781980 865320 1042640 1563960 1730640 3127920 93980963 187961926 281942889 375923852 469904815 563885778 751847704 939809630 1127771556 1409714445 1503695408 1879619260 2255543112 2819428890 3759238520 4511086224 5638857780 7518477040 11277715560 22555431120