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2109228319 = 112291274733
BaseRepresentation
bin111110110111000…
…0100010100011111
312102222212220022101
41331232010110133
513304430301234
6545144025531
7103161100462
oct17556042437
95388786271
102109228319
11992671500
124aa4622a7
13277c9c3c3
141601ad2d9
15c528b814
hex7db8451f

2109228319 has 24 divisors (see below), whose sum is σ = 2417748480. Its totient is φ = 1836394560.

The previous prime is 2109228307. The next prime is 2109228337. The reversal of 2109228319 is 9138229012.

It is not a de Polignac number, because 2109228319 - 215 = 2109195551 is a prime.

It is a super-2 number, since 2×21092283192 = 8897688203343131522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109228119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443277 + ... + 448009.

It is an arithmetic number, because the mean of its divisors is an integer number (100739520).

Almost surely, 22109228319 is an apocalyptic number.

2109228319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2109228319 is a deficient number, since it is larger than the sum of its proper divisors (308520161).

2109228319 is a wasteful number, since it uses less digits than its factorization.

2109228319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 2109228319 is about 45926.3357889566. The cubic root of 2109228319 is about 1282.4522323873.

The spelling of 2109228319 in words is "two billion, one hundred nine million, two hundred twenty-eight thousand, three hundred nineteen".

Divisors: 1 11 29 121 127 319 1397 3509 3683 4733 15367 40513 52063 137257 445643 572693 601091 1509827 6612001 16608097 17431639 72732011 191748029 2109228319