Search a number
-
+
233087364 = 223219433787
BaseRepresentation
bin11011110010010…
…10000110000100
3121020121001202100
431321022012010
5434132243424
635043512100
75530131666
oct1571120604
9536531670
10233087364
1110a631a94
1266088630
13393a0623
1422d56536
15156e2dc9
hexde4a184

233087364 has 72 divisors (see below), whose sum is σ = 622425440. Its totient is φ = 73343232.

The previous prime is 233087353. The next prime is 233087369. The reversal of 233087364 is 463780332.

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

It is not an unprimeable number, because it can be changed into a prime (233087369) 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, 295779 + ... + 296565.

Almost surely, 2233087364 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 233087364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311212720).

233087364 is an abundant number, since it is smaller than the sum of its proper divisors (389338076).

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

233087364 is a wasteful number, since it uses less digits than its factorization.

233087364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 233087364 is about 15267.1989572416. The cubic root of 233087364 is about 615.4218481912.

The spelling of 233087364 in words is "two hundred thirty-three million, eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 433 684 787 866 1299 1574 1732 2361 2598 3148 3897 4722 5196 7083 7794 8227 9444 14166 14953 15588 16454 24681 28332 29906 32908 44859 49362 59812 74043 89718 98724 134577 148086 179436 269154 296172 340771 538308 681542 1022313 1363084 2044626 3066939 4089252 6133878 6474649 12267756 12949298 19423947 25898596 38847894 58271841 77695788 116543682 233087364