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33228240 = 2435138451
BaseRepresentation
bin111111011000…
…0010111010000
32022112011120120
41332300113100
532001300430
63144110240
7552302223
oct176602720
968464516
1033228240
1117835961
12b165380
136b654a6
1445ad5ba
152db5610
hex1fb05d0

33228240 has 40 divisors (see below), whose sum is σ = 103008288. Its totient is φ = 8860800.

The previous prime is 33228233. The next prime is 33228253. The reversal of 33228240 is 4282233.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×332282402 = 2208231866995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33228240.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68986 + ... + 69465.

Almost surely, 233228240 is an apocalyptic number.

33228240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33228240 is an abundant number, since it is smaller than the sum of its proper divisors (69780048).

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

33228240 is a wasteful number, since it uses less digits than its factorization.

33228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138467 (or 138461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 33228240 is about 5764.3941572380. The cubic root of 33228240 is about 321.4912171371.

The spelling of 33228240 in words is "thirty-three million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 138451 276902 415353 553804 692255 830706 1107608 1384510 1661412 2076765 2215216 2769020 3322824 4153530 5538040 6645648 8307060 11076080 16614120 33228240