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2293984440 = 23325114171199
BaseRepresentation
bin1000100010111011…
…0110110010111000
312220212112111001200
42020232312302320
514144230000230
61015344014200
7110563355166
oct21056666270
95825474050
102293984440
11a77992510
12540301360
132a734a057
1417a944236
15d65d4160
hex88bb6cb8

2293984440 has 384 divisors, whose sum is σ = 8491392000. Its totient is φ = 532224000.

The previous prime is 2293984439. The next prime is 2293984457. The reversal of 2293984440 is 444893922.

It is a happy number.

2293984440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22939844402 = 10524729221924227200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 11527461 + ... + 11527659.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 22293984440 is an apocalyptic number.

2293984440 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 2293984440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2293984440 is an abundant number, since it is smaller than the sum of its proper divisors (6197407560).

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

2293984440 is a wasteful number, since it uses less digits than its factorization.

2293984440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2293984440 is about 47895.5576228109. The cubic root of 2293984440 is about 1318.8543089180.

The spelling of 2293984440 in words is "two billion, two hundred ninety-three million, nine hundred eighty-four thousand, four hundred forty".