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2223406080 = 210325761113
BaseRepresentation
bin1000010010000110…
…0111110000000000
312201221201201202100
42010201213300000
514023142443310
61004343150400
7106045432320
oct20441476000
95657651670
102223406080
11a41066995
12520745400
132958381cc
14171411280
15d02e1ec0
hex84867c00

2223406080 has 528 divisors, whose sum is σ = 9028154304. Its totient is φ = 495452160.

The previous prime is 2223406079. The next prime is 2223406139. The reversal of 2223406080 is 806043222.

2223406080 is a `hidden beast` number, since 2 + 22 + 34 + 0 + 608 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19676104 + ... + 19676216.

Almost surely, 22223406080 is an apocalyptic number.

2223406080 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 2223406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514077152).

2223406080 is an abundant number, since it is smaller than the sum of its proper divisors (6804748224).

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

2223406080 is a wasteful number, since it uses less digits than its factorization.

2223406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2223406080 is about 47153.0071151353. The cubic root of 2223406080 is about 1305.1875715764.

The spelling of 2223406080 in words is "two billion, two hundred twenty-three million, four hundred six thousand, eighty".