Search a number
-
+
22122496 = 21211491
BaseRepresentation
bin101010001100…
…1000000000000
31112121221100201
41110121000000
521130404441
62110054544
7356016034
oct124310000
945557321
1022122496
111153aa60
1274aa454
134777546
142d1c1c4
151e1ec31
hex1519000

22122496 has 52 divisors (see below), whose sum is σ = 48359664. Its totient is φ = 10035200.

The previous prime is 22122473. The next prime is 22122497. The reversal of 22122496 is 69422122.

It is not an unprimeable number, because it can be changed into a prime (22122497) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44811 + ... + 45301.

Almost surely, 222122496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24179832).

22122496 is an abundant number, since it is smaller than the sum of its proper divisors (26237168).

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

22122496 is an equidigital number, since it uses as much as digits as its factorization.

22122496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 504 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 22122496 is about 4703.4557508283. The cubic root of 22122496 is about 280.7230293115.

The spelling of 22122496 in words is "twenty-two million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 491 512 704 982 1024 1408 1964 2048 2816 3928 4096 5401 5632 7856 10802 11264 15712 21604 22528 31424 43208 45056 62848 86416 125696 172832 251392 345664 502784 691328 1005568 1382656 2011136 2765312 5530624 11061248 22122496