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22897152 = 29324969
BaseRepresentation
bin101011101011…
…0001000000000
31121002021222200
41113112020000
521330202102
62134433200
7365423355
oct127261000
947067880
1022897152
1111a19a73
127802800
134989015
14308062c
15202451c
hex15d6200

22897152 has 60 divisors (see below), whose sum is σ = 66096030. Its totient is φ = 7630848.

The previous prime is 22897111. The next prime is 22897157. The reversal of 22897152 is 25179822.

It can be written as a sum of positive squares in only one way, i.e., 21678336 + 1218816 = 4656^2 + 1104^2 .

It is a super-2 number, since 2×228971522 = 1048559139422208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22897157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2124 + ... + 7092.

Almost surely, 222897152 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 22897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048015).

22897152 is an abundant number, since it is smaller than the sum of its proper divisors (43198878).

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

22897152 is an equidigital number, since it uses as much as digits as its factorization.

22897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4974 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 22897152 is about 4785.0968642233. The cubic root of 22897152 is about 283.9621717784.

The spelling of 22897152 in words is "twenty-two million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 4969 9938 14907 19876 29814 39752 44721 59628 79504 89442 119256 159008 178884 238512 318016 357768 477024 636032 715536 954048 1272064 1431072 1908096 2544128 2862144 3816192 5724288 7632384 11448576 22897152