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23469264 = 2434713199
BaseRepresentation
bin101100110000…
…1110011010000
31122011100210000
41121201303100
522002004024
62155010000
7403325340
oct131416320
948140700
1023469264
111227a895
127a39900
134b29550
14318cd20
1520d8cc9
hex1661cd0

23469264 has 200 divisors, whose sum is σ = 84022400. Its totient is φ = 6158592.

The previous prime is 23469239. The next prime is 23469289. The reversal of 23469264 is 46296432.

It is an interprime number because it is at equal distance from previous prime (23469239) and next prime (23469289).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117837 + ... + 118035.

It is an arithmetic number, because the mean of its divisors is an integer number (420112).

Almost surely, 223469264 is an apocalyptic number.

23469264 is a gapful number since it is divisible by the number (24) 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 23469264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42011200).

23469264 is an abundant number, since it is smaller than the sum of its proper divisors (60553136).

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

23469264 is a wasteful number, since it uses less digits than its factorization.

23469264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 23469264 is about 4844.5086438152. The cubic root of 23469264 is about 286.3077847786.

The spelling of 23469264 in words is "twenty-three million, four hundred sixty-nine thousand, two hundred sixty-four".