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2233968 = 243114231
BaseRepresentation
bin1000100001011001110000
311012111102120
420201121300
51032441333
6115514240
724663012
oct10413160
94174376
102233968
111296460
128b8980
13602a99
144221b2
152e1db3
hex221670

2233968 has 40 divisors (see below), whose sum is σ = 6297216. Its totient is φ = 676800.

The previous prime is 2233961. The next prime is 2233969. The reversal of 2233968 is 8693322.

It is a super-2 number, since 2×22339682 = 9981226050048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233961) 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, 1588 + ... + 2643.

22233968 is an apocalyptic number.

It is an amenable number.

2233968 is an abundant number, since it is smaller than the sum of its proper divisors (4063248).

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

2233968 is a wasteful number, since it uses less digits than its factorization.

2233968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 2233968 is about 1494.6464464883. The cubic root of 2233968 is about 130.7250999700.

The spelling of 2233968 in words is "two million, two hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4231 8462 12693 16924 25386 33848 46541 50772 67696 93082 101544 139623 186164 203088 279246 372328 558492 744656 1116984 2233968