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223666980 = 22359973739
BaseRepresentation
bin11010101010011…
…10001100100100
3120120212110102020
431111032030210
5424224320410
634105543140
75354065215
oct1525161444
9516773366
10223666980
11105288349
1262aa4ab0
1337452834
14219c340c
1514981a70
hexd54e324

223666980 has 48 divisors (see below), whose sum is σ = 627063360. Its totient is φ = 59568768.

The previous prime is 223666979. The next prime is 223666987. The reversal of 223666980 is 89666322.

223666980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223666987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57951 + ... + 61689.

It is an arithmetic number, because the mean of its divisors is an integer number (13063820).

Almost surely, 2223666980 is an apocalyptic number.

223666980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 14955×14956.

It is an amenable number.

223666980 is an abundant number, since it is smaller than the sum of its proper divisors (403396380).

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

223666980 is a wasteful number, since it uses less digits than its factorization.

223666980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 223666980 is about 14955.4999916419. The cubic root of 223666980 is about 607.0166793716.

The spelling of 223666980 in words is "two hundred twenty-three million, six hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 997 1994 2991 3739 3988 4985 5982 7478 9970 11217 11964 14955 14956 18695 19940 22434 29910 37390 44868 56085 59820 74780 112170 224340 3727783 7455566 11183349 14911132 18638915 22366698 37277830 44733396 55916745 74555660 111833490 223666980