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22540500150 = 23527181118603
BaseRepresentation
bin10100111111100001…
…001011110010110110
32011011212221001021220
4110333201023302312
5332130332001100
614204401051210
71425401042610
oct247741136266
964155831256
1022540500150
119617585423
124450926b06
132182b1746c
14113b879db0
158bdce6aa0
hex53f84bcb6

22540500150 has 96 divisors (see below), whose sum is σ = 64239721728. Its totient is φ = 5123606400.

The previous prime is 22540500149. The next prime is 22540500167. The reversal of 22540500150 is 5100504522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22540500150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130749 + ... + 249351.

It is an arithmetic number, because the mean of its divisors is an integer number (669163768).

Almost surely, 222540500150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22540500150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32119860864).

22540500150 is an abundant number, since it is smaller than the sum of its proper divisors (41699221578).

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

22540500150 is a wasteful number, since it uses less digits than its factorization.

22540500150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118806 (or 118801 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 22540500150 in words is "twenty-two billion, five hundred forty million, five hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 181 210 350 362 525 543 905 1050 1086 1267 1810 2534 2715 3801 4525 5430 6335 7602 9050 12670 13575 19005 27150 31675 38010 63350 95025 118603 190050 237206 355809 593015 711618 830221 1186030 1660442 1779045 2490663 2965075 3558090 4151105 4981326 5930150 8302210 8895225 12453315 17790450 20755525 21467143 24906630 41511050 42934286 62266575 64401429 107335715 124533150 128802858 150270001 214671430 300540002 322007145 450810003 536678575 644014290 751350005 901620006 1073357150 1502700010 1610035725 2254050015 3220071450 3756750025 4508100030 7513500050 11270250075 22540500150