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223013952 = 26337103179
BaseRepresentation
bin11010100101011…
…10110001000000
3120112122021122000
431102232301000
5424042421302
634043544000
75345405310
oct1522566100
9515567560
10223013952
11104981757
126282b000
1337284525
1421893440
15148a331c
hexd4aec40

223013952 has 224 divisors, whose sum is σ = 760780800. Its totient is φ = 62747136.

The previous prime is 223013951. The next prime is 223013993. The reversal of 223013952 is 259310322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223013951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245799 + ... + 1245977.

Almost surely, 2223013952 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 223013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380390400).

223013952 is an abundant number, since it is smaller than the sum of its proper divisors (537766848).

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

223013952 is a wasteful number, since it uses less digits than its factorization.

223013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 223013952 is about 14933.6516632738. The cubic root of 223013952 is about 606.4253459283.

The spelling of 223013952 in words is "two hundred twenty-three million, thirteen thousand, nine hundred fifty-two".