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212226000 = 24353731163
BaseRepresentation
bin11001010011001…
…00111111010000
3112210100012100020
430221210333100
5413312213000
633020423440
75154614460
oct1451447720
9483305306
10212226000
11a9883598
125b0a7b80
1334c7811c
1420285ba0
1513971ba0
hexca64fd0

212226000 has 320 divisors, whose sum is σ = 812138496. Its totient is φ = 46656000.

The previous prime is 212225989. The next prime is 212226019. The reversal of 212226000 is 622212.

212226000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301919 + ... + 1302081.

Almost surely, 2212226000 is an apocalyptic number.

212226000 is a gapful number since it is divisible by the number (20) 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 212226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406069248).

212226000 is an abundant number, since it is smaller than the sum of its proper divisors (599912496).

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

212226000 is a wasteful number, since it uses less digits than its factorization.

212226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212226000 is about 14567.9785831803. The cubic root of 212226000 is about 596.4850037696.

Adding to 212226000 its reverse (622212), we get a palindrome (212848212).

The spelling of 212226000 in words is "two hundred twelve million, two hundred twenty-six thousand".