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2122315040 = 255531072339
BaseRepresentation
bin111111001111111…
…1111010100100000
312110220111202220202
41332133333110200
513321303040130
6550332324332
7103410244256
oct17637772440
95426452822
102122315040
11999a9a77a
124b29136a8
1327a901c21
14161c185d6
15c64c4145
hex7e7ff520

2122315040 has 96 divisors (see below), whose sum is σ = 5158520640. Its totient is φ = 824771584.

The previous prime is 2122315001. The next prime is 2122315051. The reversal of 2122315040 is 405132212.

It is a super-2 number, since 2×21223150402 = 9008442258020403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 906191 + ... + 908529.

It is an arithmetic number, because the mean of its divisors is an integer number (53734590).

Almost surely, 22122315040 is an apocalyptic number.

2122315040 is a gapful number since it is divisible by the number (20) 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 2122315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579260320).

2122315040 is an abundant number, since it is smaller than the sum of its proper divisors (3036205600).

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

2122315040 is a wasteful number, since it uses less digits than its factorization.

2122315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2122315040 is about 46068.5906014065. The cubic root of 2122315040 is about 1285.0990935305.

Adding to 2122315040 its reverse (405132212), we get a palindrome (2527447252).

It can be divided in two parts, 21223 and 15040, that added together give a palindrome (36263).

The spelling of 2122315040 in words is "two billion, one hundred twenty-two million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 107 160 212 214 265 424 428 530 535 848 856 1060 1070 1696 1712 2120 2140 2339 3424 4240 4280 4678 5671 8480 8560 9356 11342 11695 17120 18712 22684 23390 28355 37424 45368 46780 56710 74848 90736 93560 113420 123967 181472 187120 226840 247934 250273 374240 453680 495868 500546 619835 907360 991736 1001092 1239670 1251365 1983472 2002184 2479340 2502730 3966944 4004368 4958680 5005460 8008736 9917360 10010920 13264469 19834720 20021840 26528938 40043680 53057876 66322345 106115752 132644690 212231504 265289380 424463008 530578760 1061157520 2122315040