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212942208 = 2733671511
BaseRepresentation
bin11001011000100…
…11110110000000
3112211200120210110
430230103312000
5414003122313
633044031320
75163656523
oct1454236600
9484616713
10212942208
11aa2226a6
125b392540
133516910b
14203d0bba
1513a63ec3
hexcb13d80

212942208 has 64 divisors (see below), whose sum is σ = 567544320. Its totient is φ = 70740480.

The previous prime is 212942207. The next prime is 212942231. The reversal of 212942208 is 802249212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212942207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140173 + ... + 141683.

It is an arithmetic number, because the mean of its divisors is an integer number (8867880).

Almost surely, 2212942208 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 212942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283772160).

212942208 is an abundant number, since it is smaller than the sum of its proper divisors (354602112).

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

212942208 is a wasteful number, since it uses less digits than its factorization.

212942208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 212942208 is about 14592.5394637123. The cubic root of 212942208 is about 597.1552447062.

The spelling of 212942208 in words is "two hundred twelve million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 367 384 734 1101 1468 1511 2202 2936 3022 4404 4533 5872 6044 8808 9066 11744 12088 17616 18132 23488 24176 35232 36264 46976 48352 70464 72528 96704 140928 145056 193408 290112 554537 580224 1109074 1663611 2218148 3327222 4436296 6654444 8872592 13308888 17745184 26617776 35490368 53235552 70980736 106471104 212942208