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212894208 = 293247983
BaseRepresentation
bin11001011000010…
…00001000000000
3112211121010221200
430230020020000
5414000103313
633043021200
75163366552
oct1454101000
9484533850
10212894208
11aa19a62a
125b36a800
1335150307
14203bb4d2
1513a54b73
hexcb08200

212894208 has 120 divisors (see below), whose sum is σ = 628138368. Its totient is φ = 69384192.

The previous prime is 212894153. The next prime is 212894239. The reversal of 212894208 is 802498212.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216085 + ... + 217067.

Almost surely, 2212894208 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 212894208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314069184).

212894208 is an abundant number, since it is smaller than the sum of its proper divisors (415244160).

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

212894208 is an equidigital number, since it uses as much as digits as its factorization.

212894208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 212894208 is about 14590.8946949802. The cubic root of 212894208 is about 597.1103724285.

The spelling of 212894208 in words is "two hundred twelve million, eight hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 983 1128 1152 1504 1536 1692 1966 2256 2304 2949 3008 3384 3932 4512 4608 5898 6016 6768 7864 8847 9024 11796 12032 13536 15728 17694 18048 23592 24064 27072 31456 35388 36096 46201 47184 54144 62912 70776 72192 92402 94368 108288 125824 138603 141552 184804 188736 216576 251648 277206 283104 369608 377472 415809 503296 554412 566208 739216 754944 831618 1108824 1132416 1478432 1509888 1663236 2217648 2264832 2956864 3326472 4435296 4529664 5913728 6652944 8870592 11827456 13305888 17741184 23654912 26611776 35482368 53223552 70964736 106447104 212894208