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216903420 = 22345191701
BaseRepresentation
bin11001110110110…
…10111011111100
3120010010211120000
430323122323330
5421011402140
633304554300
75242435326
oct1473327374
9503124500
10216903420
11101488828
1260782990
1335c25126
1420b42616
1514097a30
hexcedaefc

216903420 has 120 divisors (see below), whose sum is σ = 684972288. Its totient is φ = 57456000.

The previous prime is 216903419. The next prime is 216903439. The reversal of 216903420 is 24309612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 309070 + ... + 309770.

Almost surely, 2216903420 is an apocalyptic number.

216903420 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 216903420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342486144).

216903420 is an abundant number, since it is smaller than the sum of its proper divisors (468068868).

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

216903420 is a wasteful number, since it uses less digits than its factorization.

216903420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 216903420 is about 14727.6413590228. The cubic root of 216903420 is about 600.8353364819.

The spelling of 216903420 in words is "two hundred sixteen million, nine hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 191 270 324 382 405 540 573 701 764 810 955 1146 1402 1620 1719 1910 2103 2292 2804 2865 3438 3505 3820 4206 5157 5730 6309 6876 7010 8412 8595 10314 10515 11460 12618 14020 15471 17190 18927 20628 21030 25236 25785 30942 31545 34380 37854 42060 51570 56781 61884 63090 75708 77355 94635 103140 113562 126180 133891 154710 189270 227124 267782 283905 309420 378540 401673 535564 567810 669455 803346 1135620 1205019 1338910 1606692 2008365 2410038 2677820 3615057 4016730 4820076 6025095 7230114 8033460 10845171 12050190 14460228 18075285 21690342 24100380 36150570 43380684 54225855 72301140 108451710 216903420