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22330200042 = 234292163901
BaseRepresentation
bin10100110010111110…
…111100111111101010
32010122020012200210000
4110302332330333222
5331213012400132
614131445403430
71420235366013
oct246276747752
963566180700
1022330200042
1195198a7887
1243b2409576
13214b394b27
14111b97600a
158aa60587c
hex532fbcfea

22330200042 has 60 divisors (see below), whose sum is σ = 51821387046. Its totient is φ = 7186687200.

The previous prime is 22330200041. The next prime is 22330200047. The reversal of 22330200042 is 24000203322.

It can be written as a sum of positive squares in 3 ways, for example, as 19432638801 + 2897561241 = 139401^2 + 53829^2 .

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 = 22330199988 and 22330200024.

It is not an unprimeable number, because it can be changed into a prime (22330200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54292 + ... + 218192.

Almost surely, 222330200042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25910693523).

22330200042 is an abundant number, since it is smaller than the sum of its proper divisors (29491187004).

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

22330200042 is a wasteful number, since it uses less digits than its factorization.

22330200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163973 (or 163935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22330200042 its reverse (24000203322), we get a palindrome (46330403364).

The spelling of 22330200042 in words is "twenty-two billion, three hundred thirty million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 841 1566 1682 2349 2523 4698 5046 7569 15138 22707 45414 68121 136242 163901 327802 491703 983406 1475109 2950218 4425327 4753129 8850654 9506258 13275981 14259387 26551962 28518774 42778161 85556322 128334483 137840741 256668966 275681482 385003449 413522223 770006898 827044446 1240566669 2481133338 3721700007 7443400014 11165100021 22330200042