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2145583319 = 111135713023
BaseRepresentation
bin111111111100011…
…0000000011010111
312112112021220222212
41333320300003113
513343232131234
6552523144035
7104112104645
oct17770600327
95475256885
102145583319
11a01142560
124ba67501b
1328268ab39
14164d54195
15c856d5ce
hex7fe300d7

2145583319 has 16 divisors (see below), whose sum is σ = 2366267904. Its totient is φ = 1929244800.

The previous prime is 2145583273. The next prime is 2145583327. The reversal of 2145583319 is 9133855412.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2145583319 is a prime.

It is a super-2 number, since 2×21455833192 = 9207055557542111522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145583019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708242 + ... + 711264.

It is an arithmetic number, because the mean of its divisors is an integer number (147891744).

Almost surely, 22145583319 is an apocalyptic number.

2145583319 is a deficient number, since it is larger than the sum of its proper divisors (220684585).

2145583319 is a wasteful number, since it uses less digits than its factorization.

2145583319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718.

The product of its digits is 129600, while the sum is 41.

The square root of 2145583319 is about 46320.4416969441. The cubic root of 2145583319 is about 1289.7784846892.

The spelling of 2145583319 in words is "two billion, one hundred forty-five million, five hundred eighty-three thousand, three hundred nineteen".

Divisors: 1 11 113 571 1243 3023 6281 33253 64523 341599 709753 1726133 3757589 18987463 195053029 2145583319