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22025328 = 2431347751
BaseRepresentation
bin101010000000…
…1010001110000
31112110000001220
41110001101300
521114302303
62104025040
7355132533
oct124012160
945400056
1022025328
1111483a56
127462180
134742250
142cd4a1a
151e01053
hex1501470

22025328 has 80 divisors (see below), whose sum is σ = 62662656. Its totient is φ = 6624000.

The previous prime is 22025327. The next prime is 22025371. The reversal of 22025328 is 82352022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22025298 and 22025307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22025327) 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, 28953 + ... + 29703.

Almost surely, 222025328 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 22025328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31331328).

22025328 is an abundant number, since it is smaller than the sum of its proper divisors (40637328).

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

22025328 is a wasteful number, since it uses less digits than its factorization.

22025328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22025328 is about 4693.1149570408. The cubic root of 22025328 is about 280.3114222084.

The spelling of 22025328 in words is "twenty-two million, twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 751 752 1128 1222 1502 1833 2253 2256 2444 3004 3666 4506 4888 6008 7332 9012 9763 9776 12016 14664 18024 19526 29289 29328 35297 36048 39052 58578 70594 78104 105891 117156 141188 156208 211782 234312 282376 423564 458861 468624 564752 847128 917722 1376583 1694256 1835444 2753166 3670888 5506332 7341776 11012664 22025328