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233822268 = 22333136917
BaseRepresentation
bin11011110111111…
…01100000111100
3121021222101212000
431323331200330
5434324303033
635111342300
75536312401
oct1573754074
9537871760
10233822268
1110aa94149
1266381990
1339599c94
14230a82a8
15157daa13
hexdefd83c

233822268 has 48 divisors (see below), whose sum is σ = 608230560. Its totient is φ = 77680512.

The previous prime is 233822263. The next prime is 233822279. The reversal of 233822268 is 862228332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233822263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30346 + ... + 37262.

It is an arithmetic number, because the mean of its divisors is an integer number (12671470).

Almost surely, 2233822268 is an apocalyptic number.

It is an amenable number.

233822268 is an abundant number, since it is smaller than the sum of its proper divisors (374408292).

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

233822268 is a wasteful number, since it uses less digits than its factorization.

233822268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7235 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 233822268 is about 15291.2480850976. The cubic root of 233822268 is about 616.0679599783.

The spelling of 233822268 in words is "two hundred thirty-three million, eight hundred twenty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 313 626 939 1252 1878 2817 3756 5634 6917 8451 11268 13834 16902 20751 27668 33804 41502 62253 83004 124506 186759 249012 373518 747036 2165021 4330042 6495063 8660084 12990126 19485189 25980252 38970378 58455567 77940756 116911134 233822268