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2293692480 = 2632523311117
BaseRepresentation
bin1000100010110110…
…1111100001000000
312220211222122120100
42020231233201000
514144141124410
61015333442400
7110561031042
oct21055574100
95824878510
102293692480
11a77803122
125401a0400
132a72771b1
1417a8a9a92
15d65778c0
hex88b6f840

2293692480 has 336 divisors, whose sum is σ = 8505529344. Its totient is φ = 565678080.

The previous prime is 2293692469. The next prime is 2293692509. The reversal of 2293692480 is 842963922.

2293692480 is a `hidden beast` number, since 22 + 93 + 69 + 2 + 480 = 666.

It is a super-2 number, since 2×22936924802 = 10522050385617100800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2052882 + ... + 2053998.

Almost surely, 22293692480 is an apocalyptic number.

2293692480 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 2293692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252764672).

2293692480 is an abundant number, since it is smaller than the sum of its proper divisors (6211836864).

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

2293692480 is a wasteful number, since it uses less digits than its factorization.

2293692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2293692480 is about 47892.5096439934. The cubic root of 2293692480 is about 1318.7983554666.

The spelling of 2293692480 in words is "two billion, two hundred ninety-three million, six hundred ninety-two thousand, four hundred eighty".