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2240374248 = 233372322801
BaseRepresentation
bin1000010110001001…
…0110010111101000
312210010122210201000
42011202112113220
514042013433443
61010150555000
7106342603230
oct20542262750
95703583630
102240374248
11a4a6a6372
12526368a60
132991c9648
1417378acc0
15d1a448d3
hex858965e8

2240374248 has 192 divisors, whose sum is σ = 7437628800. Its totient is φ = 612057600.

The previous prime is 2240374219. The next prime is 2240374277. The reversal of 2240374248 is 8424730422.

2240374248 is a `hidden beast` number, since 2 + 2 + 40 + 374 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (2240374219) and next prime (2240374277).

It is a super-2 number, since 2×22403742482 = 10038553542203131008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 798448 + ... + 801248.

It is an arithmetic number, because the mean of its divisors is an integer number (38737650).

Almost surely, 22240374248 is an apocalyptic number.

2240374248 is a gapful number since it is divisible by the number (28) 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 2240374248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718814400).

2240374248 is an abundant number, since it is smaller than the sum of its proper divisors (5197254552).

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

2240374248 is a wasteful number, since it uses less digits than its factorization.

2240374248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2240374248 is about 47332.5918157880. The cubic root of 2240374248 is about 1308.4993884715.

The spelling of 2240374248 in words is "two billion, two hundred forty million, three hundred seventy-four thousand, two hundred forty-eight".