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23433216 = 21231907
BaseRepresentation
bin101100101100…
…1000000000000
31122002112022220
41121121000000
521444330331
62154131040
7403115262
oct131310000
948075286
1023433216
11122557a4
127a20a80
134b16011
14317db32
1520cd296
hex1659000

23433216 has 52 divisors (see below), whose sum is σ = 62513712. Its totient is φ = 7806976.

The previous prime is 23433197. The next prime is 23433227. The reversal of 23433216 is 61233432.

It is a super-2 number, since 2×234332162 = 1098231224205312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11335 + ... + 13241.

Almost surely, 223433216 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 23433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256856).

23433216 is an abundant number, since it is smaller than the sum of its proper divisors (39080496).

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

23433216 is an equidigital number, since it uses as much as digits as its factorization.

23433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1912 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 23433216 is about 4840.7867129218. The cubic root of 23433216 is about 286.1611232885.

Adding to 23433216 its reverse (61233432), we get a palindrome (84666648).

The spelling of 23433216 in words is "twenty-three million, four hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1907 2048 3072 3814 4096 5721 6144 7628 11442 12288 15256 22884 30512 45768 61024 91536 122048 183072 244096 366144 488192 732288 976384 1464576 1952768 2929152 3905536 5858304 7811072 11716608 23433216