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223399975680 = 283257171071523
BaseRepresentation
bin1101000000001110101…
…1010001101100000000
3210100122010110121120100
43100003223101230000
512130010343210210
6250343432442400
722066026314310
oct3200353215400
9710563417510
10223399975680
118681a50a282
1237368249400
13180b321182b
14ab53b69440
155c279405c0
hex3403ad1b00

223399975680 has 864 divisors, whose sum is σ = 944684342784. Its totient is φ = 47578742784.

The previous prime is 223399975633. The next prime is 223399975681. The reversal of 223399975680 is 86579993322.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (223399975681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146683399 + ... + 146684921.

It is an arithmetic number, because the mean of its divisors is an integer number (1093384656).

Almost surely, 2223399975680 is an apocalyptic number.

223399975680 is a gapful number since it is divisible by the number (20) 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 223399975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472342171392).

223399975680 is an abundant number, since it is smaller than the sum of its proper divisors (721284367104).

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

223399975680 is a wasteful number, since it uses less digits than its factorization.

223399975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 223399975680 in words is "two hundred twenty-three billion, three hundred ninety-nine million, nine hundred seventy-five thousand, six hundred eighty".