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2214979104 = 253131774823
BaseRepresentation
bin1000010000000101…
…1110011000100000
312201100212121010010
42010001132120200
514014013312404
61003442404520
7105614004012
oct20401363040
95640777103
102214979104
11a37330648
12519960740
13293b77630
1417025a1b2
15ce6ca189
hex8405e620

2214979104 has 48 divisors (see below), whose sum is σ = 6261579072. Its totient is φ = 681531648.

The previous prime is 2214979103. The next prime is 2214979133. The reversal of 2214979104 is 4019794122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22149791042 = 9812264862313285632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2214979103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886164 + ... + 888659.

It is an arithmetic number, because the mean of its divisors is an integer number (130449564).

Almost surely, 22214979104 is an apocalyptic number.

2214979104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2214979104 is an abundant number, since it is smaller than the sum of its proper divisors (4046599968).

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

2214979104 is a wasteful number, since it uses less digits than its factorization.

2214979104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774849 (or 1774841 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2214979104 is about 47063.5645058893. The cubic root of 2214979104 is about 1303.5365447510.

The spelling of 2214979104 in words is "two billion, two hundred fourteen million, nine hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1774823 3549646 5324469 7099292 10648938 14198584 21297876 23072699 28397168 42595752 46145398 56794336 69218097 85191504 92290796 138436194 170383008 184581592 276872388 369163184 553744776 738326368 1107489552 2214979104