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22312540240 = 2451012761453
BaseRepresentation
bin10100110001111011…
…100101100001010000
32010120222222111002021
4110301323211201100
5331144002241430
614130015101224
71416632314504
oct246173454120
963528874067
1022312540240
11950a935801
1243a8511814
132147820943
14111949a304
158a8cb807a
hex531ee5850

22312540240 has 40 divisors (see below), whose sum is σ = 52390305288. Its totient is φ = 8836646400.

The previous prime is 22312540213. The next prime is 22312540247. The reversal of 22312540240 is 4204521322.

It can be written as a sum of positive squares in 4 ways, for example, as 10161446416 + 12151093824 = 100804^2 + 110232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×223125402403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312540247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372647 + ... + 1388806.

Almost surely, 222312540240 is an apocalyptic number.

22312540240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312540240 is an abundant number, since it is smaller than the sum of its proper divisors (30077765048).

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

22312540240 is a wasteful number, since it uses less digits than its factorization.

22312540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761567 (or 2761561 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 22312540240 in words is "twenty-two billion, three hundred twelve million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 2761453 5522906 11045812 13807265 22091624 27614530 44183248 55229060 110458120 220916240 278906753 557813506 1115627012 1394533765 2231254024 2789067530 4462508048 5578135060 11156270120 22312540240