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22411832328 = 233458812
BaseRepresentation
bin10100110111110110…
…010110110000001000
32010211220211001020000
4110313312112300020
5331344412113303
614143523203000
71422246301014
oct246766266010
963756731200
1022411832328
119560993386
124415816460
132162277162
141128745544
158b287cda3
hex537d96c08

22411832328 has 60 divisors (see below), whose sum is σ = 62784558045. Its totient is φ = 7469340480.

The previous prime is 22411832297. The next prime is 22411832351. The reversal of 22411832328 is 82323811422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22411832328 is a `hidden beast` number, since 2 + 2 + 411 + 8 + 3 + 232 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19555784964 + 2856047364 = 139842^2 + 53442^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22411832292 and 22411832301.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 3807948 + ... + 3813828.

Almost surely, 222411832328 is an apocalyptic number.

It is an amenable number.

22411832328 is an abundant number, since it is smaller than the sum of its proper divisors (40372725717).

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

22411832328 is an frugal number, since it uses more digits than its factorization.

22411832328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 5886 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 22411832328 in words is "twenty-two billion, four hundred eleven million, eight hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5881 11762 17643 23524 35286 47048 52929 70572 105858 141144 158787 211716 317574 423432 476361 635148 952722 1270296 1905444 3810888 34586161 69172322 103758483 138344644 207516966 276689288 311275449 415033932 622550898 830067864 933826347 1245101796 1867652694 2490203592 2801479041 3735305388 5602958082 7470610776 11205916164 22411832328