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16226640 = 2432531727
BaseRepresentation
bin111101111001…
…100101010000
31010112101202200
4331321211100
513123223030
61335443200
7254631663
oct75714520
933471680
1016226640
119183351
125526500
133491a81
1422256da
151657d60
hexf79950

16226640 has 120 divisors (see below), whose sum is σ = 56329728. Its totient is φ = 4181760.

The previous prime is 16226621. The next prime is 16226677. The reversal of 16226640 is 4662261.

It is a happy number.

16226640 is a `hidden beast` number, since 16 + 2 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21957 + ... + 22683.

Almost surely, 216226640 is an apocalyptic number.

16226640 is a gapful number since it is divisible by the number (10) 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 16226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28164864).

16226640 is an abundant number, since it is smaller than the sum of its proper divisors (40103088).

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

16226640 is a wasteful number, since it uses less digits than its factorization.

16226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 16226640 is about 4028.2303807007. The cubic root of 16226640 is about 253.1684214490.

The spelling of 16226640 in words is "sixteen million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 727 744 930 1116 1240 1395 1454 1488 1860 2181 2232 2480 2790 2908 3635 3720 4362 4464 5580 5816 6543 7270 7440 8724 10905 11160 11632 13086 14540 17448 21810 22320 22537 26172 29080 32715 34896 43620 45074 52344 58160 65430 67611 87240 90148 104688 112685 130860 135222 174480 180296 202833 225370 261720 270444 338055 360592 405666 450740 523440 540888 676110 811332 901480 1014165 1081776 1352220 1622664 1802960 2028330 2704440 3245328 4056660 5408880 8113320 16226640