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214076416 = 210415099
BaseRepresentation
bin11001100001010…
…00110000000000
3112220211012122011
430300220300000
5414300421131
633124222304
75206422331
oct1460506000
9486735564
10214076416
11aa927864
125b83a994
1335475448
1420608288
1513bda0b1
hexcc28c00

214076416 has 44 divisors (see below), whose sum is σ = 438467400. Its totient is φ = 104407040.

The previous prime is 214076377. The next prime is 214076441. The reversal of 214076416 is 614670412.

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, 39435 + ... + 44533.

Almost surely, 2214076416 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 214076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219233700).

214076416 is an abundant number, since it is smaller than the sum of its proper divisors (224390984).

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

214076416 is an equidigital number, since it uses as much as digits as its factorization.

214076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 214076416 is about 14631.3504503173. The cubic root of 214076416 is about 598.2135902158.

The spelling of 214076416 in words is "two hundred fourteen million, seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2624 5099 5248 10198 10496 20396 20992 40792 41984 81584 163168 209059 326336 418118 652672 836236 1305344 1672472 2610688 3344944 5221376 6689888 13379776 26759552 53519104 107038208 214076416