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22145411020 = 2251796539473
BaseRepresentation
bin10100100111111110…
…000010011111001100
32010011100111102220011
4110213332002133030
5330323211123040
614101245003004
71412532613345
oct244776023714
963140442804
1022145411020
119434564087
124360553464
13211c005205
1411011d30cc
158992a33ea
hex527f827cc

22145411020 has 48 divisors (see below), whose sum is σ = 46841729760. Its totient is φ = 8794259456.

The previous prime is 22145411017. The next prime is 22145411021. The reversal of 22145411020 is 2011454122.

It is a junction number, because it is equal to n+sod(n) for n = 22145410982 and 22145411000.

It is not an unprimeable number, because it can be changed into a prime (22145411021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2333004 + ... + 2342476.

It is an arithmetic number, because the mean of its divisors is an integer number (975869370).

Almost surely, 222145411020 is an apocalyptic number.

22145411020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145411020 is an abundant number, since it is smaller than the sum of its proper divisors (24696318740).

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

22145411020 is a wasteful number, since it uses less digits than its factorization.

22145411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 22145411020 its reverse (2011454122), we get a palindrome (24156865142).

The spelling of 22145411020 in words is "twenty-two billion, one hundred forty-five million, four hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 179 358 653 716 895 1306 1790 2612 3265 3580 6530 9473 13060 18946 37892 47365 94730 116887 189460 233774 467548 584435 1168870 1695667 2337740 3391334 6185869 6782668 8478335 12371738 16956670 24743476 30929345 33913340 61858690 123717380 1107270551 2214541102 4429082204 5536352755 11072705510 22145411020