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2280425472 = 211321331307
BaseRepresentation
bin1000011111101100…
…1000100000000000
312212221000121122200
42013323020200000
514132242103342
61014141233200
7110340203523
oct20773104000
95787017580
102280425472
11a70271456
12537862800
132a45b05b0
14178c14bba
15d530694c
hex87ec8800

2280425472 has 288 divisors, whose sum is σ = 7345578240. Its totient is φ = 676823040.

The previous prime is 2280425443. The next prime is 2280425489. The reversal of 2280425472 is 2745240822.

2280425472 is a `hidden beast` number, since 228 + 0 + 425 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7427943 + ... + 7428249.

It is an arithmetic number, because the mean of its divisors is an integer number (25505480).

Almost surely, 22280425472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672789120).

2280425472 is an abundant number, since it is smaller than the sum of its proper divisors (5065152768).

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

2280425472 is a wasteful number, since it uses less digits than its factorization.

2280425472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2280425472 is about 47753.8006026745. The cubic root of 2280425472 is about 1316.2507382782.

The spelling of 2280425472 in words is "two billion, two hundred eighty million, four hundred twenty-five thousand, four hundred seventy-two".