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212867984 = 2471900607
BaseRepresentation
bin11001011000000…
…01101110010000
3112211112210222102
430230001232100
5413443233414
633042255532
75163230240
oct1454015620
9484483872
10212867984
11aa18195a
125b3575a8
13351413b4
14203b1b20
1513a4bede
hexcb01b90

212867984 has 20 divisors (see below), whose sum is σ = 471350784. Its totient is φ = 91229088.

The previous prime is 212867971. The next prime is 212867987. The reversal of 212867984 is 489768212.

It is a happy number.

It is a super-2 number, since 2×2128679842 = 90625557224448512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212867987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950192 + ... + 950415.

Almost surely, 2212867984 is an apocalyptic number.

It is an amenable number.

212867984 is an abundant number, since it is smaller than the sum of its proper divisors (258482800).

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

212867984 is a wasteful number, since it uses less digits than its factorization.

212867984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900622 (or 1900616 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 212867984 is about 14589.9960246739. The cubic root of 212867984 is about 597.0858543583.

The spelling of 212867984 in words is "two hundred twelve million, eight hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1900607 3801214 7602428 13304249 15204856 26608498 30409712 53216996 106433992 212867984