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2243598240 = 2535131672153
BaseRepresentation
bin1000010110111010…
…1001011110100000
312210100201121012010
42011232221132200
514043330120430
61010344032520
7106412161512
oct20556513640
95710647163
102243598240
11a514a8624
12527462740
13299a87c30
14173d89bb2
15d1e7ecb0
hex85ba97a0

2243598240 has 192 divisors, whose sum is σ = 7660106496. Its totient is φ = 548708352.

The previous prime is 2243598211. The next prime is 2243598277. The reversal of 2243598240 is 428953422.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041004 + ... + 1043156.

It is an arithmetic number, because the mean of its divisors is an integer number (39896388).

Almost surely, 22243598240 is an apocalyptic number.

2243598240 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 2243598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830053248).

2243598240 is an abundant number, since it is smaller than the sum of its proper divisors (5416508256).

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

2243598240 is a wasteful number, since it uses less digits than its factorization.

2243598240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2243598240 is about 47366.6363593616. The cubic root of 2243598240 is about 1309.1267493695.

The spelling of 2243598240 in words is "two billion, two hundred forty-three million, five hundred ninety-eight thousand, two hundred forty".