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2165913120 = 25357644617
BaseRepresentation
bin1000000100011001…
…0011011000100000
312120221112210020110
42001012103120200
513413433204440
6554531011320
7104446646340
oct20106233040
95527483213
102165913120
11a11668648
12505439b40
132869583c7
14167926d20
15ca237080
hex81193620

2165913120 has 96 divisors (see below), whose sum is σ = 7797299328. Its totient is φ = 495065088.

The previous prime is 2165913119. The next prime is 2165913131. The reversal of 2165913120 is 213195612.

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 (30).

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, 318949 + ... + 325668.

It is an arithmetic number, because the mean of its divisors is an integer number (81221868).

Almost surely, 22165913120 is an apocalyptic number.

2165913120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165913120 is an abundant number, since it is smaller than the sum of its proper divisors (5631386208).

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

2165913120 is a wasteful number, since it uses less digits than its factorization.

2165913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644642 (or 644634 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2165913120 is about 46539.3717190080. The cubic root of 2165913120 is about 1293.8393161983.

The spelling of 2165913120 in words is "two billion, one hundred sixty-five million, nine hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 644617 1289234 1933851 2578468 3223085 3867702 4512319 5156936 6446170 7735404 9024638 9669255 10313872 12892340 13536957 15470808 18049276 19338510 20627744 22561595 25784680 27073914 30941616 36098552 38677020 45123190 51569360 54147828 61883232 67684785 72197104 77354040 90246380 103138720 108295656 135369570 144394208 154708080 180492760 216591312 270739140 309416160 360985520 433182624 541478280 721971040 1082956560 2165913120