Search a number
-
+
22538142040 = 2353183218987
BaseRepresentation
bin10100111111011000…
…001100000101011000
32011011201111020120111
4110333120030011120
5332124231021130
614204234334104
71425342021631
oct247730140530
964151436514
1022538142040
119616214777
12444bb8a334
1321824a002b
14113b424888
158bd9cd02a
hex53f60c158

22538142040 has 64 divisors (see below), whose sum is σ = 52977576960. Its totient is φ = 8619288960.

The previous prime is 22538142031. The next prime is 22538142047. The reversal of 22538142040 is 4024183522.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 22538141993 and 22538142011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22538142047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6574 + ... + 212413.

It is an arithmetic number, because the mean of its divisors is an integer number (827774640).

Almost surely, 222538142040 is an apocalyptic number.

22538142040 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 22538142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26488788480).

22538142040 is an abundant number, since it is smaller than the sum of its proper divisors (30439434920).

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

22538142040 is a wasteful number, since it uses less digits than its factorization.

22538142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219112 (or 219108 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 22538142040 in words is "twenty-two billion, five hundred thirty-eight million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 83 124 155 166 248 310 332 415 620 664 830 1240 1660 2573 3320 5146 10292 12865 20584 25730 51460 102920 218987 437974 875948 1094935 1751896 2189870 4379740 6788597 8759480 13577194 18175921 27154388 33942985 36351842 54308776 67885970 72703684 90879605 135771940 145407368 181759210 271543880 363518420 563453551 727036840 1126907102 2253814204 2817267755 4507628408 5634535510 11269071020 22538142040