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22267788040 = 2352920299461
BaseRepresentation
bin10100101111010000…
…110111101100001000
32010110212202211121101
4110233100313230020
5331101023204130
614121335551144
71415550034561
oct245720675410
963425684541
1022267788040
119497649813
12439552b4b4
13213b482054
14111356b168
158a4dc81ca
hex52f437b08

22267788040 has 64 divisors (see below), whose sum is σ = 51861222000. Its totient is φ = 8594826240.

The previous prime is 22267788013. The next prime is 22267788041. The reversal of 22267788040 is 4088776222.

It can be written as a sum of positive squares in 8 ways, for example, as 19458576036 + 2809212004 = 139494^2 + 53002^2 .

It is not an unprimeable number, because it can be changed into a prime (22267788041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2348910 + ... + 2358370.

Almost surely, 222267788040 is an apocalyptic number.

22267788040 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 22267788040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25930611000).

22267788040 is an abundant number, since it is smaller than the sum of its proper divisors (29593433960).

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

22267788040 is a wasteful number, since it uses less digits than its factorization.

22267788040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 22267788040 in words is "twenty-two billion, two hundred sixty-seven million, seven hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2029 4058 8116 9461 10145 16232 18922 20290 37844 40580 47305 58841 75688 81160 94610 117682 189220 235364 274369 294205 378440 470728 548738 588410 1097476 1176820 1371845 2194952 2353640 2743690 5487380 10974760 19196369 38392738 76785476 95981845 153570952 191963690 383927380 556694701 767854760 1113389402 2226778804 2783473505 4453557608 5566947010 11133894020 22267788040