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223020241920 = 2103457174519
BaseRepresentation
bin1100111110110100001…
…0101101010000000000
3210022122122221010210000
43033231002231100000
512123221140220140
6250242025440000
722053435530640
oct3175502552000
9708578833700
10223020241920
1186645126723
1237281040000
13180526478b8
14ab1955c520
155c04431a30
hex33ed0ad400

223020241920 has 880 divisors, whose sum is σ = 967287087360. Its totient is φ = 47966846976.

The previous prime is 223020241897. The next prime is 223020241931. The reversal of 223020241920 is 29142020322.

223020241920 is a `hidden beast` number, since 2 + 23 + 0 + 202 + 419 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49349421 + ... + 49353939.

It is an arithmetic number, because the mean of its divisors is an integer number (1099189872).

Almost surely, 2223020241920 is an apocalyptic number.

223020241920 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 223020241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483643543680).

223020241920 is an abundant number, since it is smaller than the sum of its proper divisors (744266845440).

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

223020241920 is a wasteful number, since it uses less digits than its factorization.

223020241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 223020241920 in words is "two hundred twenty-three billion, twenty million, two hundred forty-one thousand, nine hundred twenty".