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212988168 = 23322958169
BaseRepresentation
bin11001011000111…
…11000100001000
3112211202220211200
430230133010020
5414011110133
633045024200
75164240521
oct1454370410
9484686750
10212988168
11aa254188
125b3b5060
1335184003
1420403848
1513a72913
hexcb1f108

212988168 has 24 divisors (see below), whose sum is σ = 576843150. Its totient is φ = 70996032.

The previous prime is 212988137. The next prime is 212988221. The reversal of 212988168 is 861889212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 126832644 + 86155524 = 11262^2 + 9282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 1479013 + ... + 1479156.

Almost surely, 2212988168 is an apocalyptic number.

It is an amenable number.

212988168 is an abundant number, since it is smaller than the sum of its proper divisors (363854982).

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

212988168 is a wasteful number, since it uses less digits than its factorization.

212988168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958181 (or 2958174 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 212988168 is about 14594.1141560562. The cubic root of 212988168 is about 597.1982035932.

The spelling of 212988168 in words is "two hundred twelve million, nine hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2958169 5916338 8874507 11832676 17749014 23665352 26623521 35498028 53247042 70996056 106494084 212988168