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22322332040 = 235558058301
BaseRepresentation
bin10100110010100000…
…111100000110001000
32010121200101221220112
4110302200330012020
5331204004111130
614131005013452
71420111456151
oct246240740610
963550357815
1022322332040
1195154134a8
1243ab854288
13214986b7c8
14111a8c8928
158a9a9e495
hex53283c188

22322332040 has 16 divisors (see below), whose sum is σ = 50225247180. Its totient is φ = 8928932800.

The previous prime is 22322331881. The next prime is 22322332079. The reversal of 22322332040 is 4023322322.

It can be written as a sum of positive squares in 2 ways, for example, as 21148721476 + 1173610564 = 145426^2 + 34258^2 .

It is a super-3 number, since 3×223223320403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322331997 and 22322332015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279029111 + ... + 279029190.

Almost surely, 222322332040 is an apocalyptic number.

22322332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322332040 is an abundant number, since it is smaller than the sum of its proper divisors (27902915140).

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

22322332040 is a wasteful number, since it uses less digits than its factorization.

22322332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558058312 (or 558058308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 22322332040 its reverse (4023322322), we get a palindrome (26345654362).

The spelling of 22322332040 in words is "twenty-two billion, three hundred twenty-two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 558058301 1116116602 2232233204 2790291505 4464466408 5580583010 11161166020 22322332040