Search a number
-
+
2332345120 = 2557342499
BaseRepresentation
bin1000101100000100…
…1100001100100000
320000112201102000121
42023001030030200
514234040020440
61023234130024
7111540415000
oct21301141440
96015642017
102332345120
11a97603456
12551120914
132b228b691
14181a8c000
15d9b6034a
hex8b04c320

2332345120 has 96 divisors (see below), whose sum is σ = 6426000000. Its totient is φ = 799642368.

The previous prime is 2332345117. The next prime is 2332345159. The reversal of 2332345120 is 215432332.

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, 33631 + ... + 76129.

It is an arithmetic number, because the mean of its divisors is an integer number (66937500).

Almost surely, 22332345120 is an apocalyptic number.

2332345120 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 2332345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213000000).

2332345120 is an abundant number, since it is smaller than the sum of its proper divisors (4093654880).

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

2332345120 is an equidigital number, since it uses as much as digits as its factorization.

2332345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42535 (or 42513 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2332345120 is about 48294.3590908918. The cubic root of 2332345120 is about 1326.1651306020.

Adding to 2332345120 its reverse (215432332), we get a palindrome (2547777452).

The spelling of 2332345120 in words is "two billion, three hundred thirty-two million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2744 3430 3920 5488 6860 7840 10976 13720 27440 42499 54880 84998 169996 212495 297493 339992 424990 594986 679984 849980 1189972 1359968 1487465 1699960 2082451 2379944 2974930 3399920 4164902 4759888 5949860 6799840 8329804 9519776 10412255 11899720 14577157 16659608 20824510 23799440 29154314 33319216 41649020 47598880 58308628 66638432 72885785 83298040 116617256 145771570 166596080 233234512 291543140 333192160 466469024 583086280 1166172560 2332345120