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2232720396 = 22332572313
BaseRepresentation
bin1000010100010100…
…1001110000001100
312202121020221121000
42011011021300030
514033034023041
61005314540300
7106220544624
oct20505116014
95677227530
102232720396
11a46348975
12523897690
1329774993a
14172757884
15d1031bb6
hex85149c0c

2232720396 has 72 divisors (see below), whose sum is σ = 5829711440. Its totient is φ = 738975744.

The previous prime is 2232720359. The next prime is 2232720397. The reversal of 2232720396 is 6930272322.

2232720396 is a `hidden beast` number, since 223 + 27 + 20 + 396 = 666.

It is a super-3 number, since 3×22327203963 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2232720396.

It is not an unprimeable number, because it can be changed into a prime (2232720397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7133136 + ... + 7133448.

Almost surely, 22232720396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232720396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914855720).

2232720396 is an abundant number, since it is smaller than the sum of its proper divisors (3596991044).

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

2232720396 is a wasteful number, since it uses less digits than its factorization.

2232720396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2232720396 is about 47251.6708276014. The cubic root of 2232720396 is about 1307.0076009164.

The spelling of 2232720396 in words is "two billion, two hundred thirty-two million, seven hundred twenty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 313 514 626 771 939 1028 1252 1542 1878 2313 2817 3084 3756 4626 5634 6939 8451 9252 11268 13878 16902 27756 33804 66049 80441 132098 160882 198147 241323 264196 321764 396294 482646 594441 723969 792588 965292 1188882 1447938 1783323 2171907 2377764 2895876 3566646 4343814 7133292 8687628 20673337 41346674 62020011 82693348 124040022 186060033 248080044 372120066 558180099 744240132 1116360198 2232720396