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212114199492 = 2232133122511879
BaseRepresentation
bin1100010110001011111…
…1011101001111000100
3202021111121021210002200
43011202333131033010
511433402213340432
6241235515234500
721216246642606
oct3054277351704
9667447253080
10212114199492
1181a58a32618
1235138748a30
1317005029660
14a3a2d49176
1557b6c51a7c
hex3162fdd3c4

212114199492 has 216 divisors, whose sum is σ = 599345248320. Its totient is φ = 62875440000.

The previous prime is 212114199481. The next prime is 212114199509. The reversal of 212114199492 is 294991411212.

It is a happy number.

212114199492 is a `hidden beast` number, since 2 + 12 + 1 + 141 + 9 + 9 + 492 = 666.

212114199492 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121141994922 (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 112885809 + ... + 112887687.

It is an arithmetic number, because the mean of its divisors is an integer number (2774746520).

Almost surely, 2212114199492 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 212114199492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299672624160).

212114199492 is an abundant number, since it is smaller than the sum of its proper divisors (387231048828).

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

212114199492 is a wasteful number, since it uses less digits than its factorization.

212114199492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2179 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 212114199492 in words is "two hundred twelve billion, one hundred fourteen million, one hundred ninety-nine thousand, four hundred ninety-two".