Search a number
-
+
2328065652 = 2231123151721
BaseRepresentation
bin1000101011000011…
…0111011001110100
320000020122222200210
42022300313121310
514231441100102
61023002305420
7111456142263
oct21260673164
96006588623
102328065652
11a95150200
1254b7b8270
132b1420853
141812965da
15d95b736c
hex8ac37674

2328065652 has 72 divisors (see below), whose sum is σ = 6163607296. Its totient is φ = 682704000.

The previous prime is 2328065633. The next prime is 2328065653. The reversal of 2328065652 is 2565608232.

2328065652 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2328065652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328065653) 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, 19152 + ... + 70872.

Almost surely, 22328065652 is an apocalyptic number.

2328065652 is a gapful number since it is divisible by the number (22) 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 2328065652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081803648).

2328065652 is an abundant number, since it is smaller than the sum of its proper divisors (3835541644).

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

2328065652 is a wasteful number, since it uses less digits than its factorization.

2328065652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51781 (or 51768 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2328065652 is about 48250.0326632014. The cubic root of 2328065652 is about 1325.3535360398.

The spelling of 2328065652 in words is "two billion, three hundred twenty-eight million, sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 2046 3751 4092 7502 11253 15004 22506 45012 51721 103442 155163 206884 310326 568931 620652 1137862 1603351 1706793 2275724 3206702 3413586 4810053 6258241 6413404 6827172 9620106 12516482 17636861 18774723 19240212 25032964 35273722 37549446 52910583 70547444 75098892 105821166 194005471 211642332 388010942 582016413 776021884 1164032826 2328065652