Search a number
-
+
2232747936 = 253312232113
BaseRepresentation
bin1000010100010101…
…0000011110100000
312202121022100101000
42011011100132200
514033040413221
61005315312000
7106221021126
oct20505203640
95677270330
102232747936
11a46367631
125238ab600
13297759333
14172763916
15d1039e26
hex851507a0

2232747936 has 96 divisors (see below), whose sum is σ = 6520590720. Its totient is φ = 743288832.

The previous prime is 2232747929. The next prime is 2232747971. The reversal of 2232747936 is 6397472322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22327479363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232747891 and 2232747900.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1055616 + ... + 1057728.

It is an arithmetic number, because the mean of its divisors is an integer number (67922820).

Almost surely, 22232747936 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 2232747936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260295360).

2232747936 is an abundant number, since it is smaller than the sum of its proper divisors (4287842784).

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

2232747936 is a wasteful number, since it uses less digits than its factorization.

2232747936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3341 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 2232747936 is about 47251.9622449693. The cubic root of 2232747936 is about 1307.0129747556.

The spelling of 2232747936 in words is "two billion, two hundred thirty-two million, seven hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1223 2113 2446 3669 4226 4892 6339 7338 8452 9784 11007 12678 14676 16904 19017 19568 22014 25356 29352 33021 33808 38034 39136 44028 50712 57051 58704 66042 67616 76068 88056 101424 114102 117408 132084 152136 176112 202848 228204 264168 304272 352224 456408 528336 608544 912816 1056672 1825632 2584199 5168398 7752597 10336796 15505194 20673592 23257791 31010388 41347184 46515582 62020776 69773373 82694368 93031164 124041552 139546746 186062328 248083104 279093492 372124656 558186984 744249312 1116373968 2232747936