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212882664 = 23323385657
BaseRepresentation
bin11001011000001…
…01010011101000
3112211120120010010
430230011103220
5413444221124
633042451520
75163321111
oct1454052350
9484516103
10212882664
11aa191995
125b363ba0
1335147c97
14203b7208
1513a51529
hexcb054e8

212882664 has 32 divisors (see below), whose sum is σ = 555347520. Its totient is φ = 67875456.

The previous prime is 212882647. The next prime is 212882689. The reversal of 212882664 is 466288212.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192277 + ... + 193380.

It is an arithmetic number, because the mean of its divisors is an integer number (17354610).

Almost surely, 2212882664 is an apocalyptic number.

212882664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212882664 is an abundant number, since it is smaller than the sum of its proper divisors (342464856).

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

212882664 is a wasteful number, since it uses less digits than its factorization.

212882664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385689 (or 385685 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 212882664 is about 14590.4991004420. The cubic root of 212882664 is about 597.0995796396.

The spelling of 212882664 in words is "two hundred twelve million, eight hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 385657 771314 1156971 1542628 2313942 3085256 4627884 8870111 9255768 17740222 26610333 35480444 53220666 70960888 106441332 212882664