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10222012040 = 2351012530201
BaseRepresentation
bin10011000010100011…
…11000011010001000
3222101101112000101112
421201101320122020
5131413313341130
64410153105452
7511211445242
oct114121703210
928341460345
1010222012040
114376071a39
121b933b8288
13c6b9b0946
146cd835092
153ec614495
hex261478688

10222012040 has 32 divisors (see below), whose sum is σ = 23227254360. Its totient is φ = 4048320000.

The previous prime is 10222012039. The next prime is 10222012063. The reversal of 10222012040 is 4021022201.

It can be written as a sum of positive squares in 4 ways, for example, as 7506143044 + 2715868996 = 86638^2 + 52114^2 .

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 7 ways as a sum of consecutive naturals, for example, 1261061 + ... + 1269140.

Almost surely, 210222012040 is an apocalyptic number.

10222012040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222012040 is an abundant number, since it is smaller than the sum of its proper divisors (13005242320).

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

10222012040 is a wasteful number, since it uses less digits than its factorization.

10222012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530313 (or 2530309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10222012040 its reverse (4021022201), we get a palindrome (14243034241).

The spelling of 10222012040 in words is "ten billion, two hundred twenty-two million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 2530201 5060402 10120804 12651005 20241608 25302010 50604020 101208040 255550301 511100602 1022201204 1277751505 2044402408 2555503010 5111006020 10222012040