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213663912 = 233721183199
BaseRepresentation
bin11001011110001…
…00000010101000
3112220001020210020
430233010002220
5414144221122
633111320440
75203053600
oct1457040250
9486036706
10213663912
11aa675950
125b680120
133535c767
142053bc00
1513b57c5c
hexcbc40a8

213663912 has 192 divisors, whose sum is σ = 689472000. Its totient is φ = 54552960.

The previous prime is 213663893. The next prime is 213663917. The reversal of 213663912 is 219366312.

It is a super-2 number, since 2×2136639122 = 91304534582287488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (213663917) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1073589 + ... + 1073787.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2213663912 is an apocalyptic number.

213663912 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 213663912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

213663912 is an abundant number, since it is smaller than the sum of its proper divisors (475808088).

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

213663912 is a wasteful number, since it uses less digits than its factorization.

213663912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 213663912 is about 14617.2470732351. The cubic root of 213663912 is about 597.8291104260.

The spelling of 213663912 in words is "two hundred thirteen million, six hundred sixty-three thousand, nine hundred twelve".