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220896992 = 2547193761
BaseRepresentation
bin11010010101010…
…01111011100000
3120101122201201002
431022221323200
5423022200432
633530331132
75321410361
oct1512517340
9511581632
10220896992
111037661a8
1261b89aa8
13369c2aa4
14214a1b68
15145d5e62
hexd2a9ee0

220896992 has 48 divisors (see below), whose sum is σ = 447031872. Its totient is φ = 107397120.

The previous prime is 220896989. The next prime is 220897007. The reversal of 220896992 is 299698022.

220896992 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289892 + ... + 290652.

It is an arithmetic number, because the mean of its divisors is an integer number (9313164).

Almost surely, 2220896992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220896992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223515936).

220896992 is an abundant number, since it is smaller than the sum of its proper divisors (226134880).

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

220896992 is a wasteful number, since it uses less digits than its factorization.

220896992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 220896992 is about 14862.6038095618. The cubic root of 220896992 is about 604.5004112842.

The spelling of 220896992 in words is "two hundred twenty million, eight hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 94 188 193 376 386 752 761 772 1504 1522 1544 3044 3088 6088 6176 9071 12176 18142 24352 35767 36284 71534 72568 143068 145136 146873 286136 290272 293746 572272 587492 1144544 1174984 2349968 4699936 6903031 13806062 27612124 55224248 110448496 220896992