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2263196880 = 2432572711657
BaseRepresentation
bin1000011011100101…
…1010010011010000
312211201121022110200
42012321122103100
514113334300010
61012324055200
7110040566430
oct20671322320
95751538420
102263196880
11a6157434a
12531b34500
132a0b5a769
1417680c2c0
15d3a51cc0
hex86e5a4d0

2263196880 has 240 divisors, whose sum is σ = 8723679744. Its totient is φ = 515082240.

The previous prime is 2263196867. The next prime is 2263196921. The reversal of 2263196880 is 886913622.

2263196880 is a `hidden beast` number, since 2 + 2 + 631 + 9 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1365012 + ... + 1366668.

Almost surely, 22263196880 is an apocalyptic number.

2263196880 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 2263196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361839872).

2263196880 is an abundant number, since it is smaller than the sum of its proper divisors (6460482864).

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

2263196880 is a wasteful number, since it uses less digits than its factorization.

2263196880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2263196880 is about 47573.0688520301. The cubic root of 2263196880 is about 1312.9276016282.

The spelling of 2263196880 in words is "two billion, two hundred sixty-three million, one hundred ninety-six thousand, eight hundred eighty".