Search a number
-
+
22533542130 = 23511611676703
BaseRepresentation
bin10100111111000110…
…101001000011110010
32011011101211112200110
4110333012221003302
5332122041322010
614203552002150
71425254643051
oct247706510362
964141745613
1022533542130
1196136627a0
12444a530356
13218154c3a8
14113a988398
158bd3c0120
hex53f1a90f2

22533542130 has 128 divisors (see below), whose sum is σ = 60332138496. Its totient is φ = 5340153600.

The previous prime is 22533542047. The next prime is 22533542153. The reversal of 22533542130 is 3124533522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3358359 + ... + 3365061.

It is an arithmetic number, because the mean of its divisors is an integer number (471344832).

Almost surely, 222533542130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22533542130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30166069248).

22533542130 is an abundant number, since it is smaller than the sum of its proper divisors (37798596366).

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

22533542130 is a wasteful number, since it uses less digits than its factorization.

22533542130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952.

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 22533542130 in words is "twenty-two billion, five hundred thirty-three million, five hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 167 183 305 330 334 366 501 610 671 835 915 1002 1342 1670 1830 1837 2013 2505 3355 3674 4026 5010 5511 6703 6710 9185 10065 10187 11022 13406 18370 20109 20130 20374 27555 30561 33515 40218 50935 55110 61122 67030 73733 100545 101870 112057 147466 152805 201090 221199 224114 305610 336171 368665 408883 442398 560285 672342 737330 817766 1105995 1119401 1120570 1226649 1680855 2044415 2211990 2238802 2453298 3358203 3361710 4088830 4497713 5597005 6133245 6716406 8995426 11194010 12266490 12313411 13493139 16791015 22488565 24626822 26986278 33582030 36940233 44977130 61567055 67465695 68283461 73880466 123134110 134931390 136566922 184701165 204850383 341417305 369402330 409700766 682834610 751118071 1024251915 1502236142 2048503830 2253354213 3755590355 4506708426 7511180710 11266771065 22533542130