Search a number
-
+
22502470068 = 22321348082201
BaseRepresentation
bin10100111101010000…
…000111000110110100
32011002020100220211100
4110331100013012310
5332041113020233
614200522010100
71424426561001
oct247520070664
964066326740
1022502470068
1195a806a901
124440046930
132177c90460
1411367ba8a8
158ba7d3813
hex53d4071b4

22502470068 has 36 divisors (see below), whose sum is σ = 61256725348. Its totient is φ = 6923836800.

The previous prime is 22502470043. The next prime is 22502470069. The reversal of 22502470068 is 86007420522.

22502470068 is a `hidden beast` number, since 22 + 502 + 4 + 70 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13005577764 + 9496892304 = 114042^2 + 97452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×225024700682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22502470069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24040633 + ... + 24041568.

Almost surely, 222502470068 is an apocalyptic number.

It is an amenable number.

22502470068 is an abundant number, since it is smaller than the sum of its proper divisors (38754255280).

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

22502470068 is a wasteful number, since it uses less digits than its factorization.

22502470068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48082224 (or 48082219 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22502470068 in words is "twenty-two billion, five hundred two million, four hundred seventy thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 48082201 96164402 144246603 192328804 288493206 432739809 576986412 625068613 865479618 1250137226 1730959236 1875205839 2500274452 3750411678 5625617517 7500823356 11251235034 22502470068