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22575040 = 265194779
BaseRepresentation
bin101011000011…
…1011111000000
31120110221010121
41112013133000
521234400130
62123510024
7362612305
oct126073700
946427117
1022575040
1111819a64
127688314
1348a5517
142dd90ac
151eadd7a
hex15877c0

22575040 has 112 divisors (see below), whose sum is σ = 58521600. Its totient is φ = 8266752.

The previous prime is 22575023. The next prime is 22575041. The reversal of 22575040 is 4057522.

It is a junction number, because it is equal to n+sod(n) for n = 22574996 and 22575014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22575041) 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, 285721 + ... + 285799.

Almost surely, 222575040 is an apocalyptic number.

22575040 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 22575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260800).

22575040 is an abundant number, since it is smaller than the sum of its proper divisors (35946560).

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

22575040 is a wasteful number, since it uses less digits than its factorization.

22575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 22575040 is about 4751.3198166404. The cubic root of 22575040 is about 282.6243063772.

The spelling of 22575040 in words is "twenty-two million, five hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 64 76 79 80 94 95 152 158 160 188 190 235 304 316 320 376 380 395 470 608 632 752 760 790 893 940 1216 1264 1501 1504 1520 1580 1786 1880 2528 3002 3008 3040 3160 3572 3713 3760 4465 5056 6004 6080 6320 7144 7426 7505 7520 8930 12008 12640 14288 14852 15010 15040 17860 18565 24016 25280 28576 29704 30020 35720 37130 48032 57152 59408 60040 70547 71440 74260 96064 118816 120080 141094 142880 148520 237632 240160 282188 285760 297040 352735 480320 564376 594080 705470 1128752 1188160 1410940 2257504 2821880 4515008 5643760 11287520 22575040