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22122042556124 = 2273141883703981
BaseRepresentation
bin1010000011110101100000…
…11111001111111011011100
32220022211212011220120101002
411001322300133033323130
510344421420343243444
6115014420454405432
74442156560106330
oct501726037177334
986284764816332
1022122042556124
1170599a6336655
122593497360878
13c4613ac59954
145669d94297c0
152856a22d5d4e
hex141eb07cfedc

22122042556124 has 96 divisors (see below), whose sum is σ = 46838299103232. Its totient is φ = 8941109184000.

The previous prime is 22122042556057. The next prime is 22122042556127. The reversal of 22122042556124 is 42165524022122.

It is a super-2 number, since 2×221220425561242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122042556127) 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, 31072214 + ... + 31776194.

It is an arithmetic number, because the mean of its divisors is an integer number (487898948992).

Almost surely, 222122042556124 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 22122042556124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419149551616).

22122042556124 is an abundant number, since it is smaller than the sum of its proper divisors (24716256547108).

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

22122042556124 is a wasteful number, since it uses less digits than its factorization.

22122042556124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704947 (or 704945 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 22122042556124 its reverse (42165524022122), we get a palindrome (64287566578246).

The spelling of 22122042556124 in words is "twenty-two trillion, one hundred twenty-two billion, forty-two million, five hundred fifty-six thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 287 434 574 868 883 1148 1271 1766 2542 3532 5084 6181 8897 12362 17794 24724 27373 35588 36203 54746 72406 109492 144812 191611 253421 383222 506842 703981 766444 1013684 1122293 1407962 2244586 2815924 4489172 4927867 7856051 9855734 15712102 19711468 21823411 28863221 31424204 43646822 57726442 87293644 115452884 152763877 202042547 305527754 404085094 611055508 621615223 808170188 894759851 1243230446 1789519702 2486460892 3579039404 4351306561 6263318957 8702613122 12526637914 17405226244 19270071913 25053275828 25486224143 38540143826 50972448286 77080287652 101944896572 134890503391 178403569001 269781006782 356807138002 539562013564 713614276004 790072948433 1580145896866 3160291793732 5530510639031 11061021278062 22122042556124