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22102142040 = 23325115581349
BaseRepresentation
bin10100100101011000…
…111110110001011000
32010001100002011000100
4110211120332301120
5330231122021130
614053101335400
71411466051616
oct244530766130
963040064010
1022102142040
1194120a04a0
124349b67560
132113065774
1410d956c6b6
158955a7c60
hex52563ec58

22102142040 has 96 divisors (see below), whose sum is σ = 78362154000. Its totient is φ = 5358094080.

The previous prime is 22102141937. The next prime is 22102142047. The reversal of 22102142040 is 4024120122.

22102142040 is a `hidden beast` number, since 221 + 0 + 21 + 420 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102142047) 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, 2786715 + ... + 2794634.

Almost surely, 222102142040 is an apocalyptic number.

22102142040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102142040 is an abundant number, since it is smaller than the sum of its proper divisors (56260011960).

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

22102142040 is a wasteful number, since it uses less digits than its factorization.

22102142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581377 (or 5581370 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22102142040 its reverse (4024120122), we get a palindrome (26126262162).

The spelling of 22102142040 in words is "twenty-two billion, one hundred two million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5581349 11162698 16744047 22325396 27906745 33488094 44650792 50232141 55813490 61394839 66976188 83720235 100464282 111626980 122789678 133952376 167440470 184184517 200928564 223253960 245579356 251160705 306974195 334880940 368369034 401857128 491158712 502321410 552553551 613948390 669761880 736738068 920922585 1004642820 1105107102 1227896780 1473476136 1841845170 2009285640 2210214204 2455793560 2762767755 3683690340 4420428408 5525535510 7367380680 11051071020 22102142040