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214202368 = 211412551
BaseRepresentation
bin11001100010001…
…11100000000000
3112221001121102001
430301013200000
5414313433433
633131033344
75210455462
oct1461074000
9487047361
10214202368
11aaa03456
125b89b854
13354ba883
142063c132
1513c1257d
hexcc47800

214202368 has 48 divisors (see below), whose sum is σ = 438918480. Its totient is φ = 104448000.

The previous prime is 214202353. The next prime is 214202407. The reversal of 214202368 is 863202412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82693 + ... + 85243.

It is an arithmetic number, because the mean of its divisors is an integer number (9144135).

Almost surely, 2214202368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219459240).

214202368 is an abundant number, since it is smaller than the sum of its proper divisors (224716112).

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

214202368 is an equidigital number, since it uses as much as digits as its factorization.

214202368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 214202368 is about 14635.6539997364. The cubic root of 214202368 is about 598.3308870012.

The spelling of 214202368 in words is "two hundred fourteen million, two hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2551 2624 5102 5248 10204 10496 20408 20992 40816 41984 81632 83968 104591 163264 209182 326528 418364 653056 836728 1306112 1673456 2612224 3346912 5224448 6693824 13387648 26775296 53550592 107101184 214202368