Search a number
-
+
233006781 = 3733312
BaseRepresentation
bin11011110001101…
…10011010111101
3121020102222012210
431320312122331
5434122204111
635042051033
75526345030
oct1570663275
9536388183
10233006781
1110a587497
1266049a79
1339372a47
1422d35017
15156c90a6
hexde366bd

233006781 has 12 divisors (see below), whose sum is σ = 355164576. Its totient is φ = 133106760.

The previous prime is 233006779. The next prime is 233006783. The reversal of 233006781 is 187600332.

It is an interprime number because it is at equal distance from previous prime (233006779) and next prime (233006783).

It is not a de Polignac number, because 233006781 - 21 = 233006779 is a prime.

It is a super-2 number, since 2×2330067812 = 108584319983963922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233006783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68286 + ... + 71616.

It is an arithmetic number, because the mean of its divisors is an integer number (29597048).

Almost surely, 2233006781 is an apocalyptic number.

233006781 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233006781 is a deficient number, since it is larger than the sum of its proper divisors (122157795).

233006781 is an frugal number, since it uses more digits than its factorization.

233006781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 233006781 is about 15264.5596398979. The cubic root of 233006781 is about 615.3509187707.

The spelling of 233006781 in words is "two hundred thirty-three million, six thousand, seven hundred eighty-one".

Divisors: 1 3 7 21 3331 9993 23317 69951 11095561 33286683 77668927 233006781