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223643427840 = 2103357239967
BaseRepresentation
bin1101000001001000101…
…1111110010000000000
3210101021002120021011000
43100102023332100000
512131010204142330
6250423530452000
722105043525340
oct3202213762000
9711232507130
10223643427840
1186934980508
1237415894000
13181217a0a71
14ab7821cd20
155c3dece560
hex34122fe400

223643427840 has 704 divisors, whose sum is σ = 913073356800. Its totient is φ = 50851971072.

The previous prime is 223643427829. The next prime is 223643427911. The reversal of 223643427840 is 48724346322.

223643427840 is a `hidden beast` number, since 2 + 236 + 4 + 342 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231275037 + ... + 231276003.

It is an arithmetic number, because the mean of its divisors is an integer number (1296979200).

Almost surely, 2223643427840 is an apocalyptic number.

223643427840 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 223643427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456536678400).

223643427840 is an abundant number, since it is smaller than the sum of its proper divisors (689429928960).

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

223643427840 is a wasteful number, since it uses less digits than its factorization.

223643427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 223643427840 in words is "two hundred twenty-three billion, six hundred forty-three million, four hundred twenty-seven thousand, eight hundred forty".