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22125480 = 23351321091
BaseRepresentation
bin101010001100…
…1101110101000
31112122002110020
41110121232220
521131003410
62110120440
7356030526
oct124315650
945562406
1022125480
1111542223
1274b0120
134778a00
142d1d316
151e20a70
hex1519ba8

22125480 has 96 divisors (see below), whose sum is σ = 71940960. Its totient is φ = 5441280.

The previous prime is 22125479. The next prime is 22125503. The reversal of 22125480 is 8452122.

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 22125480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19735 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (749385).

Almost surely, 222125480 is an apocalyptic number.

22125480 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 22125480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35970480).

22125480 is an abundant number, since it is smaller than the sum of its proper divisors (49815480).

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

22125480 is a wasteful number, since it uses less digits than its factorization.

22125480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 22125480 is about 4703.7729537043. The cubic root of 22125480 is about 280.7356505494.

The spelling of 22125480 in words is "twenty-two million, one hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1091 1352 1560 1690 2028 2182 2535 3273 3380 4056 4364 5070 5455 6546 6760 8728 10140 10910 13092 14183 16365 20280 21820 26184 28366 32730 42549 43640 56732 65460 70915 85098 113464 130920 141830 170196 184379 212745 283660 340392 368758 425490 553137 567320 737516 850980 921895 1106274 1475032 1701960 1843790 2212548 2765685 3687580 4425096 5531370 7375160 11062740 22125480