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23224896 = 263261661
BaseRepresentation
bin101100010011…
…0001001000000
31121200221120100
41120212021000
521421144041
62145442400
7401260032
oct130461100
947627510
1023224896
1112123232
127940400
134a72256
143127c52
15208b6b6
hex1626240

23224896 has 84 divisors (see below), whose sum is σ = 67763644. Its totient is φ = 7603200.

The previous prime is 23224891. The next prime is 23224919. The reversal of 23224896 is 69842232.

23224896 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 14930496 = 2880^2 + 3864^2 .

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 self number, because there is not a number n which added to its sum of digits gives 23224896.

It is not an unprimeable number, because it can be changed into a prime (23224891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34806 + ... + 35466.

Almost surely, 223224896 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 23224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33881822).

23224896 is an abundant number, since it is smaller than the sum of its proper divisors (44538748).

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

23224896 is a wasteful number, since it uses less digits than its factorization.

23224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 727 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 23224896 is about 4819.2215138962. The cubic root of 23224896 is about 285.3106124123.

The spelling of 23224896 in words is "twenty-three million, two hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 661 732 976 1098 1322 1464 1952 1983 2196 2644 2928 3904 3966 4392 5288 5856 5949 7932 8784 10576 11712 11898 15864 17568 21152 23796 31728 35136 40321 42304 47592 63456 80642 95184 120963 126912 161284 190368 241926 322568 362889 380736 483852 645136 725778 967704 1290272 1451556 1935408 2580544 2903112 3870816 5806224 7741632 11612448 23224896