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216899640 = 23335229877
BaseRepresentation
bin11001110110110…
…10000000111000
3120010010122101000
430323122000320
5421011242030
633304525000
75242421316
oct1473320070
9503118330
10216899640
11101485a01
1260780760
1335c234a9
1420b410b6
1514096860
hexceda038

216899640 has 128 divisors (see below), whose sum is σ = 726984000. Its totient is φ = 57521664.

The previous prime is 216899609. The next prime is 216899647. The reversal of 216899640 is 46998612.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216899647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 246882 + ... + 247758.

Almost surely, 2216899640 is an apocalyptic number.

216899640 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 216899640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363492000).

216899640 is an abundant number, since it is smaller than the sum of its proper divisors (510084360).

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

216899640 is a wasteful number, since it uses less digits than its factorization.

216899640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 216899640 is about 14727.5130283426. The cubic root of 216899640 is about 600.8318461869.

It can be divided in two parts, 21689 and 9640, that added together give a square (31329 = 1772).

The spelling of 216899640 in words is "two hundred sixteen million, eight hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 229 270 360 458 540 687 877 916 1080 1145 1374 1754 1832 2061 2290 2631 2748 3435 3508 4122 4385 4580 5262 5496 6183 6870 7016 7893 8244 8770 9160 10305 10524 12366 13155 13740 15786 16488 17540 20610 21048 23679 24732 26310 27480 30915 31572 35080 39465 41220 47358 49464 52620 61830 63144 78930 82440 94716 105240 118395 123660 157860 189432 200833 236790 247320 315720 401666 473580 602499 803332 947160 1004165 1204998 1606664 1807497 2008330 2409996 3012495 3614994 4016660 4819992 5422491 6024990 7229988 8033320 9037485 10844982 12049980 14459976 18074970 21689964 24099960 27112455 36149940 43379928 54224910 72299880 108449820 216899640