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2281680984 = 2331112768053
BaseRepresentation
bin1000011111111111…
…1011000001011000
312220000101101220010
42013333323001120
514133102242414
61014224201520
7110353653102
oct20777730130
95800341803
102281680984
11a70a49770
125381692a0
132a492cbbb
14179060572
15d54a3959
hex87ffb058

2281680984 has 64 divisors (see below), whose sum is σ = 6271856640. Its totient is φ = 685964160.

The previous prime is 2281680979. The next prime is 2281680997. The reversal of 2281680984 is 4890861822.

It is a super-2 number, since 2×22816809842 = 10412136225494416512, which contains 22 as substring.

It is a congruent number.

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, 499 + ... + 67554.

It is an arithmetic number, because the mean of its divisors is an integer number (97997760).

Almost surely, 22281680984 is an apocalyptic number.

2281680984 is a gapful number since it is divisible by the number (24) 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 2281680984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135928320).

2281680984 is an abundant number, since it is smaller than the sum of its proper divisors (3990175656).

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

2281680984 is a wasteful number, since it uses less digits than its factorization.

2281680984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68200 (or 68196 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 2281680984 is about 47766.9444699993. The cubic root of 2281680984 is about 1316.4922524796.

The spelling of 2281680984 in words is "two billion, two hundred eighty-one million, six hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 5588 8382 11176 16764 33528 68053 136106 204159 272212 408318 544424 748583 816636 1497166 1633272 2245749 2994332 4491498 5988664 8642731 8982996 17285462 17965992 25928193 34570924 51856386 69141848 95070041 103712772 190140082 207425544 285210123 380280164 570420246 760560328 1140840492 2281680984