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216997300 = 225213712351
BaseRepresentation
bin11001110111100…
…01110110110100
3120010022121100001
430323301312310
5421022403200
633311001044
75243306122
oct1473616664
9503277301
10216997300
11101542313
1260809184
1335c58a90
1420b68912
15140b576a
hexcef1db4

216997300 has 72 divisors (see below), whose sum is σ = 514467072. Its totient is φ = 78960000.

The previous prime is 216997283. The next prime is 216997321. The reversal of 216997300 is 3799612.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 216997300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91125 + ... + 93475.

It is an arithmetic number, because the mean of its divisors is an integer number (7145376).

Almost surely, 2216997300 is an apocalyptic number.

216997300 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 216997300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257233536).

216997300 is an abundant number, since it is smaller than the sum of its proper divisors (297469772).

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

216997300 is a wasteful number, since it uses less digits than its factorization.

216997300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 216997300 is about 14730.8282183997. The cubic root of 216997300 is about 600.9220083678.

The spelling of 216997300 in words is "two hundred sixteen million, nine hundred ninety-seven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 650 710 923 1300 1420 1775 1846 2351 3550 3692 4615 4702 7100 9230 9404 11755 18460 23075 23510 30563 46150 47020 58775 61126 92300 117550 122252 152815 166921 235100 305630 333842 611260 667684 764075 834605 1528150 1669210 2169973 3056300 3338420 4173025 4339946 8346050 8679892 10849865 16692100 21699730 43399460 54249325 108498650 216997300