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23135552 = 261159557
BaseRepresentation
bin101100001000…
…0010101000000
31121112102000022
41120100111000
521410314202
62143513012
7400435406
oct130202500
947472008
1023135552
11120720a0
1278b8768
134a4069b
143103476
15206eea2
hex1610540

23135552 has 56 divisors (see below), whose sum is σ = 51023520. Its totient is φ = 10319360.

The previous prime is 23135543. The next prime is 23135557. The reversal of 23135552 is 25553132.

It is a super-3 number, since 3×231355523 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23135557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41258 + ... + 41814.

Almost surely, 223135552 is an apocalyptic number.

23135552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25511760).

23135552 is an abundant number, since it is smaller than the sum of its proper divisors (27887968).

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

23135552 is a wasteful number, since it uses less digits than its factorization.

23135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its digits is 4500, while the sum is 26.

The square root of 23135552 is about 4809.9430350057. The cubic root of 23135552 is about 284.9442878686.

Adding to 23135552 its reverse (25553132), we get a palindrome (48688684).

The spelling of 23135552 in words is "twenty-three million, one hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 176 236 352 472 557 649 704 944 1114 1298 1888 2228 2596 3776 4456 5192 6127 8912 10384 12254 17824 20768 24508 32863 35648 41536 49016 65726 98032 131452 196064 262904 361493 392128 525808 722986 1051616 1445972 2103232 2891944 5783888 11567776 23135552