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2279420352 = 26341171563
BaseRepresentation
bin1000011111011101…
…0011000111000000
312212212010112220000
42013313103013000
514132012422402
61014103520000
7110325516246
oct20767230700
95785115800
102279420352
11a6a745280
12537459000
132a431ac51
14178a32796
15d51a8c1c
hex87dd31c0

2279420352 has 280 divisors, whose sum is σ = 7488277632. Its totient is φ = 679795200.

The previous prime is 2279420323. The next prime is 2279420389. The reversal of 2279420352 is 2530249722.

2279420352 is a `hidden beast` number, since 227 + 9 + 420 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×22794203522 = 10391514282223607808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4048423 + ... + 4048985.

Almost surely, 22279420352 is an apocalyptic number.

2279420352 is a gapful number since it is divisible by the number (22) 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 2279420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744138816).

2279420352 is an abundant number, since it is smaller than the sum of its proper divisors (5208857280).

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

2279420352 is a wasteful number, since it uses less digits than its factorization.

2279420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2279420352 is about 47743.2754636713. The cubic root of 2279420352 is about 1316.0573263646.

The spelling of 2279420352 in words is "two billion, two hundred seventy-nine million, four hundred twenty thousand, three hundred fifty-two".