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233102340 = 22335431671
BaseRepresentation
bin11011110010011…
…01110000000100
3121020121211022000
431321031300010
5434133233330
635044105300
75530223442
oct1571156004
9536554260
10233102340
1110a642269
1266095230
13393a73a3
1422d5bb92
15156e7560
hexde4dc04

233102340 has 48 divisors (see below), whose sum is σ = 725208960. Its totient is φ = 62160480.

The previous prime is 233102329. The next prime is 233102347. The reversal of 233102340 is 43201332.

233102340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233102347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215296 + ... + 216375.

It is an arithmetic number, because the mean of its divisors is an integer number (15108520).

Almost surely, 2233102340 is an apocalyptic number.

233102340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233102340 is an abundant number, since it is smaller than the sum of its proper divisors (492106620).

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

233102340 is a wasteful number, since it uses less digits than its factorization.

233102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431689 (or 431681 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233102340 is about 15267.6894126125. The cubic root of 233102340 is about 615.4350283139.

Adding to 233102340 its reverse (43201332), we get a palindrome (276303672).

The spelling of 233102340 in words is "two hundred thirty-three million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 431671 863342 1295013 1726684 2158355 2590026 3885039 4316710 5180052 6475065 7770078 8633420 11655117 12950130 15540156 19425195 23310234 25900260 38850390 46620468 58275585 77700780 116551170 233102340