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212999940 = 223251183333
BaseRepresentation
bin11001011001000…
…01111100000100
3112211210111222200
430230201330010
5414011444230
633045154500
75164320036
oct1454417404
9484714880
10212999940
11aa26200a
125b3bba30
133518948a
1420407c56
1513a76160
hexcb21f04

212999940 has 36 divisors (see below), whose sum is σ = 646100364. Its totient is φ = 56799936.

The previous prime is 212999933. The next prime is 212999947. The reversal of 212999940 is 49999212.

It is an interprime number because it is at equal distance from previous prime (212999933) and next prime (212999947).

It can be written as a sum of positive squares in 2 ways, for example, as 163635264 + 49364676 = 12792^2 + 7026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (212999947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591487 + ... + 591846.

Almost surely, 2212999940 is an apocalyptic number.

212999940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212999940 is an abundant number, since it is smaller than the sum of its proper divisors (433100424).

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

212999940 is a wasteful number, since it uses less digits than its factorization.

212999940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183348 (or 1183343 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 212999940 is about 14594.5174637601. The cubic root of 212999940 is about 597.2092059066.

The spelling of 212999940 in words is "two hundred twelve million, nine hundred ninety-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1183333 2366666 3549999 4733332 5916665 7099998 10649997 11833330 14199996 17749995 21299994 23666660 35499990 42599988 53249985 70999980 106499970 212999940