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212989392 = 243371119337
BaseRepresentation
bin11001011000111…
…11010111010000
3112211202222112000
430230133113100
5414011130032
633045034000
75164244220
oct1454372720
9484688460
10212989392
11aa2550a0
125b3b5900
1335184735
1420404080
1513a72e7c
hexcb1f5d0

212989392 has 320 divisors, whose sum is σ = 804710400. Its totient is φ = 52254720.

The previous prime is 212989367. The next prime is 212989393. The reversal of 212989392 is 293989212.

It is a happy number.

It is a super-2 number, since 2×2129893922 = 90728962209059328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212989393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631848 + ... + 632184.

It is an arithmetic number, because the mean of its divisors is an integer number (2514720).

Almost surely, 2212989392 is an apocalyptic number.

212989392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212989392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402355200).

212989392 is an abundant number, since it is smaller than the sum of its proper divisors (591721008).

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

212989392 is a wasteful number, since it uses less digits than its factorization.

212989392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 212989392 is about 14594.1560907097. The cubic root of 212989392 is about 597.1993475835.

The spelling of 212989392 in words is "two hundred twelve million, nine hundred eighty-nine thousand, three hundred ninety-two".