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2281487040 = 263357217317
BaseRepresentation
bin1000011111111100…
…1011101011000000
312220000000112212000
42013333023223000
514133030041130
61014220104000
7110352214500
oct20777135300
95800015760
102281487040
11a70926a88
12538095000
132a4892841
1417900da00
15d5466260
hex87fcbac0

2281487040 has 672 divisors, whose sum is σ = 9944648640. Its totient is φ = 489259008.

The previous prime is 2281487011. The next prime is 2281487119. The reversal of 2281487040 is 407841822.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×22814870402 = 10410366227375923200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2281486986 and 2281487004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7196962 + ... + 7197278.

Almost surely, 22281487040 is an apocalyptic number.

2281487040 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 2281487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972324320).

2281487040 is an abundant number, since it is smaller than the sum of its proper divisors (7663161600).

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

2281487040 is a wasteful number, since it uses less digits than its factorization.

2281487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2281487040 is about 47764.9143200320. The cubic root of 2281487040 is about 1316.4549505942.

The spelling of 2281487040 in words is "two billion, two hundred eighty-one million, four hundred eighty-seven thousand, forty".