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223612316928 = 283872111319
BaseRepresentation
bin1101000001000001010…
…1010010110100000000
3210101011221000200000000
43100100111102310000
512130424223120203
6250420500000000
722104215222100
oct3202025226400
9711157020000
10223612316928
1186919361410
1237407390000
13181181ca240
14ab74041200
155c3b3d64a3
hex3410552d00

223612316928 has 1944 divisors, whose sum is σ = 963106391520. Its totient is φ = 50791587840.

The previous prime is 223612316923. The next prime is 223612316933. The reversal of 223612316928 is 829613216322.

223612316928 is a `hidden beast` number, since 2 + 2 + 3 + 612 + 3 + 1 + 6 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (223612316923) and next prime (223612316933).

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223612316923) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11769069303 + ... + 11769069321.

Almost surely, 2223612316928 is an apocalyptic number.

223612316928 is a gapful number since it is divisible by the number (28) 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 223612316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481553195760).

223612316928 is an abundant number, since it is smaller than the sum of its proper divisors (739494074592).

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

223612316928 is an equidigital number, since it uses as much as digits as its factorization.

223612316928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 55 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 223612316928 in words is "two hundred twenty-three billion, six hundred twelve million, three hundred sixteen thousand, nine hundred twenty-eight".