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21227640 = 2335737683
BaseRepresentation
bin101000011111…
…0100001111000
31110221110211220
41100332201320
520413241030
62034552040
7345301110
oct120764170
943843756
1021227640
1110a89705
127138620
134523145
142b68040
151ce4a10
hex143e878

21227640 has 128 divisors (see below), whose sum is σ = 74856960. Its totient is φ = 4713984.

The previous prime is 21227629. The next prime is 21227671. The reversal of 21227640 is 4672212.

It is a super-2 number, since 2×212276402 = 901225399939200, which contains 22 as substring.

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 21227640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30739 + ... + 31421.

It is an arithmetic number, because the mean of its divisors is an integer number (584820).

Almost surely, 221227640 is an apocalyptic number.

21227640 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 21227640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37428480).

21227640 is an abundant number, since it is smaller than the sum of its proper divisors (53629320).

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

21227640 is a wasteful number, since it uses less digits than its factorization.

21227640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 21227640 is about 4607.3463078002. The cubic root of 21227640 is about 276.8857283438.

Adding to 21227640 its reverse (4672212), we get a palindrome (25899852).

The spelling of 21227640 in words is "twenty-one million, two hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 683 740 777 840 888 1036 1110 1295 1366 1480 1554 2049 2072 2220 2590 2732 3108 3415 3885 4098 4440 4781 5180 5464 6216 6830 7770 8196 9562 10245 10360 13660 14343 15540 16392 19124 20490 23905 25271 27320 28686 31080 38248 40980 47810 50542 57372 71715 75813 81960 95620 101084 114744 126355 143430 151626 176897 191240 202168 252710 286860 303252 353794 379065 505420 530691 573720 606504 707588 758130 884485 1010840 1061382 1415176 1516260 1768970 2122764 2653455 3032520 3537940 4245528 5306910 7075880 10613820 21227640