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211214320 = 2456733923
BaseRepresentation
bin11001001011011…
…01111111110000
3112201102210120121
430211231333300
5413032324240
632543020024
75143202122
oct1445557760
9481383517
10211214320
11a9252499
125a89a614
13349b27b5
14200a1212
151382204a
hexc96dff0

211214320 has 40 divisors (see below), whose sum is σ = 491928336. Its totient is φ = 84338688.

The previous prime is 211214291. The next prime is 211214357. The reversal of 211214320 is 23412112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2112143202 = 89222977946124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211214294 and 211214303.

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 7 ways as a sum of consecutive naturals, for example, 51879 + ... + 55801.

Almost surely, 2211214320 is an apocalyptic number.

211214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211214320 is an abundant number, since it is smaller than the sum of its proper divisors (280714016).

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

211214320 is a wasteful number, since it uses less digits than its factorization.

211214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211214320 is about 14533.2143726018. The cubic root of 211214320 is about 595.5356802811.

Adding to 211214320 its reverse (23412112), we get a palindrome (234626432).

The spelling of 211214320 in words is "two hundred eleven million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 673 1346 2692 3365 3923 5384 6730 7846 10768 13460 15692 19615 26920 31384 39230 53840 62768 78460 156920 313840 2640179 5280358 10560716 13200895 21121432 26401790 42242864 52803580 105607160 211214320