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28222380 = 223251723401
BaseRepresentation
bin110101110101…
…0001110101100
31222002211211100
41223222032230
524211104010
62444523100
7461612664
oct153521654
958084740
1028222380
1114a2698a
129550490
135b01b44
143a691a4
1527272c0
hex1aea3ac

28222380 has 144 divisors (see below), whose sum is σ = 94820544. Its totient is φ = 6758400.

The previous prime is 28222367. The next prime is 28222387. The reversal of 28222380 is 8322282.

28222380 is a `hidden beast` number, since 282 + 2 + 2 + 380 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28222387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70180 + ... + 70580.

It is an arithmetic number, because the mean of its divisors is an integer number (658476).

Almost surely, 228222380 is an apocalyptic number.

28222380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28222380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47410272).

28222380 is an abundant number, since it is smaller than the sum of its proper divisors (66598164).

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

28222380 is a wasteful number, since it uses less digits than its factorization.

28222380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28222380 is about 5312.4739999364. The cubic root of 28222380 is about 304.4606790774.

The spelling of 28222380 in words is "twenty-eight million, two hundred twenty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 401 414 460 510 612 690 765 782 802 828 1020 1035 1173 1203 1380 1530 1564 1604 1955 2005 2070 2346 2406 3060 3519 3609 3910 4010 4140 4692 4812 5865 6015 6817 7038 7218 7820 8020 9223 11730 12030 13634 14076 14436 17595 18045 18446 20451 23460 24060 27268 27669 34085 35190 36090 36892 40902 46115 55338 61353 68170 70380 72180 81804 83007 92230 102255 110676 122706 136340 138345 156791 166014 184460 204510 245412 276690 306765 313582 332028 409020 415035 470373 553380 613530 627164 783955 830070 940746 1227060 1411119 1567910 1660140 1881492 2351865 2822238 3135820 4703730 5644476 7055595 9407460 14111190 28222380