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223421474880 = 2633537698891
BaseRepresentation
bin1101000000010011110…
…1010010100001000000
3210100200121220212221000
43100010331102201000
512130031344144010
6250345521332000
722066410126222
oct3200475224100
9710617825830
10223421474880
1186830663a0a
1237373497000
13180b77cb456
14ab56964412
155c2978a7c0
hex3404f52840

223421474880 has 224 divisors, whose sum is σ = 809484670080. Its totient is φ = 57968732160.

The previous prime is 223421474827. The next prime is 223421474897. The reversal of 223421474880 is 88474124322.

223421474880 is a `hidden beast` number, since 2 + 23 + 4 + 2 + 147 + 488 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29766 + ... + 669125.

Almost surely, 2223421474880 is an apocalyptic number.

223421474880 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 223421474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404742335040).

223421474880 is an abundant number, since it is smaller than the sum of its proper divisors (586063195200).

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

223421474880 is a wasteful number, since it uses less digits than its factorization.

223421474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698954 (or 698938 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 223421474880 in words is "two hundred twenty-three billion, four hundred twenty-one million, four hundred seventy-four thousand, eight hundred eighty".