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33225440 = 255281739
BaseRepresentation
bin111111010111…
…1101011100000
32022112000201212
41332233223200
532001203230
63144045252
7552261113
oct176575340
968460655
1033225440
1117833846
12b163828
136b64131
1445ac57a
152db4895
hex1fafae0

33225440 has 48 divisors (see below), whose sum is σ = 78881040. Its totient is φ = 13224960.

The previous prime is 33225427. The next prime is 33225461. The reversal of 33225440 is 4452233.

It is a super-2 number, since 2×332254402 = 2207859726387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44591 + ... + 45329.

It is an arithmetic number, because the mean of its divisors is an integer number (1643355).

Almost surely, 233225440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39440520).

33225440 is an abundant number, since it is smaller than the sum of its proper divisors (45655600).

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

33225440 is a wasteful number, since it uses less digits than its factorization.

33225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 33225440 is about 5764.1512818454. The cubic root of 33225440 is about 321.4821866589.

Adding to 33225440 its reverse (4452233), we get a palindrome (37677673).

The spelling of 33225440 in words is "thirty-three million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 562 739 1124 1405 1478 2248 2810 2956 3695 4496 5620 5912 7390 8992 11240 11824 14780 22480 23648 29560 44960 59120 118240 207659 415318 830636 1038295 1661272 2076590 3322544 4153180 6645088 8306360 16612720 33225440