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2249998560 = 253451391249
BaseRepresentation
bin1000011000011100…
…0100000011100000
312210210202202210000
42012013010003200
514101444423220
61011133140000
7106520446365
oct20607040340
95723682700
102249998560
11a5507a247
1252962a600
1329b1b91c4
14174b7446c
15d27e6390
hex861c40e0

2249998560 has 240 divisors, whose sum is σ = 8004150000. Its totient is φ = 595206144.

The previous prime is 2249998547. The next prime is 2249998561. The reversal of 2249998560 is 658999422.

It is a happy number.

2249998560 is a `hidden beast` number, since 2 + 2 + 499 + 98 + 5 + 60 = 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 2249998497 and 2249998506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249998561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1800816 + ... + 1802064.

It is an arithmetic number, because the mean of its divisors is an integer number (33350625).

Almost surely, 22249998560 is an apocalyptic number.

2249998560 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 2249998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002075000).

2249998560 is an abundant number, since it is smaller than the sum of its proper divisors (5754151440).

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

2249998560 is a wasteful number, since it uses less digits than its factorization.

2249998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2249998560 is about 47434.1497235905. The cubic root of 2249998560 is about 1310.3704175586.

The spelling of 2249998560 in words is "two billion, two hundred forty-nine million, nine hundred ninety-eight thousand, five hundred sixty".