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5332224 = 28353131
BaseRepresentation
bin10100010101110100000000
3101000220102210
4110111310000
52331112344
6310142120
763215562
oct24256400
911026383
105332224
1130121a7
121951940
131149081
149cb332
15704db9
hex515d00

5332224 has 72 divisors (see below), whose sum is σ = 14569632. Its totient is φ = 1730560.

The previous prime is 5332213. The next prime is 5332241. The reversal of 5332224 is 4222335.

It is a super-2 number, since 2×53322242 = 56865225572352, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5332224.

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, 40639 + ... + 40769.

It is an arithmetic number, because the mean of its divisors is an integer number (202356).

Almost surely, 25332224 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 5332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284816).

5332224 is an abundant number, since it is smaller than the sum of its proper divisors (9237408).

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

5332224 is a wasteful number, since it uses less digits than its factorization.

5332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its digits is 1440, while the sum is 21.

The square root of 5332224 is about 2309.1608865560. The cubic root of 5332224 is about 174.7039784582.

Adding to 5332224 its reverse (4222335), we get a palindrome (9554559).

The spelling of 5332224 in words is "five million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 131 159 192 212 256 262 318 384 393 424 524 636 768 786 848 1048 1272 1572 1696 2096 2544 3144 3392 4192 5088 6288 6784 6943 8384 10176 12576 13568 13886 16768 20352 20829 25152 27772 33536 40704 41658 50304 55544 83316 100608 111088 166632 222176 333264 444352 666528 888704 1333056 1777408 2666112 5332224