Search a number
-
+
2233331232 = 253112114897
BaseRepresentation
bin1000010100011101…
…1110111000100000
312202122101222111120
42011013132320200
514033213044412
61005340012240
7106226000526
oct20507367040
95678358446
102233331232
11a467258a0
12523b31080
13297901992
14172876316
15d1102b8c
hex851dee20

2233331232 has 48 divisors (see below), whose sum is σ = 6395451552. Its totient is φ = 676766720.

The previous prime is 2233331203. The next prime is 2233331239. The reversal of 2233331232 is 2321333322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2233331239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056393 + ... + 1058504.

It is an arithmetic number, because the mean of its divisors is an integer number (133238574).

Almost surely, 22233331232 is an apocalyptic number.

2233331232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2233331232 is an abundant number, since it is smaller than the sum of its proper divisors (4162120320).

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

2233331232 is a wasteful number, since it uses less digits than its factorization.

2233331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114921 (or 2114913 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 2233331232 is about 47258.1340300270. The cubic root of 2233331232 is about 1307.1267820583.

Adding to 2233331232 its reverse (2321333322), we get a palindrome (4554664554).

The spelling of 2233331232 in words is "two billion, two hundred thirty-three million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2114897 4229794 6344691 8459588 12689382 16919176 23263867 25378764 33838352 46527734 50757528 67676704 69791601 93055468 101515056 139583202 186110936 203030112 279166404 372221872 558332808 744443744 1116665616 2233331232