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22024020042 = 234769176789
BaseRepresentation
bin10100100000101110…
…111110000001001010
32002211220002010210000
4110200232332001022
5330101122120132
614041231103430
71406530036653
oct244056760112
962756063700
1022024020042
119381a92262
124327971b76
1320ccb1212b
1410cd03452a
1588d7c587c
hex520bbe04a

22024020042 has 40 divisors (see below), whose sum is σ = 49414572900. Its totient is φ = 7331751936.

The previous prime is 22024020019. The next prime is 22024020077. The reversal of 22024020042 is 24002042022.

22024020042 is a `hidden beast` number, since 220 + 2 + 402 + 0 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20681603721 + 1342416321 = 143811^2 + 36639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22024019997 and 22024020024.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36184 + ... + 212972.

Almost surely, 222024020042 is an apocalyptic number.

22024020042 is an abundant number, since it is smaller than the sum of its proper divisors (27390552858).

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

22024020042 is a wasteful number, since it uses less digits than its factorization.

22024020042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177572 (or 177563 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22024020042 its reverse (24002042022), we get a palindrome (46026062064).

The spelling of 22024020042 in words is "twenty-two billion, twenty-four million, twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 769 1538 2307 4614 6921 13842 20763 41526 62289 124578 176789 353578 530367 1060734 1591101 3182202 4773303 9546606 14319909 28639818 135950741 271901482 407852223 815704446 1223556669 2447113338 3670670007 7341340014 11012010021 22024020042