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2280708768 = 253136412851
BaseRepresentation
bin1000011111110000…
…1101101010100000
312212221120000021010
42013330031222200
514132330140033
61014151300520
7110342463462
oct20774155240
95787500233
102280708768
11a70445288
1253797a740
132a467c520
14178c8a132
15d5360863
hex87f0daa0

2280708768 has 96 divisors (see below), whose sum is σ = 6459711552. Its totient is φ = 700416000.

The previous prime is 2280708737. The next prime is 2280708791. The reversal of 2280708768 is 8678070822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798543 + ... + 801393.

It is an arithmetic number, because the mean of its divisors is an integer number (67288662).

Almost surely, 22280708768 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 2280708768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229855776).

2280708768 is an abundant number, since it is smaller than the sum of its proper divisors (4179002784).

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

2280708768 is a wasteful number, since it uses less digits than its factorization.

2280708768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 2280708768 is about 47756.7667247271. The cubic root of 2280708768 is about 1316.3052417227.

The spelling of 2280708768 in words is "two billion, two hundred eighty million, seven hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 641 1248 1282 1923 2564 2851 3846 5128 5702 7692 8333 8553 10256 11404 15384 16666 17106 20512 22808 24999 30768 33332 34212 37063 45616 49998 61536 66664 68424 74126 91232 99996 111189 133328 136848 148252 199992 222378 266656 273696 296504 399984 444756 593008 799968 889512 1186016 1779024 1827491 3558048 3654982 5482473 7309964 10964946 14619928 21929892 23757383 29239856 43859784 47514766 58479712 71272149 87719568 95029532 142544298 175439136 190059064 285088596 380118128 570177192 760236256 1140354384 2280708768