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212153472 = 27331723157
BaseRepresentation
bin11001010010100…
…11010010000000
3112210012111212000
430221103102000
5413302402342
633015104000
75154163146
oct1451232200
9483174760
10212153472
11a9834053
125b072000
1334c510cb
1420267596
151395a44c
hexca53480

212153472 has 256 divisors, whose sum is σ = 696211200. Its totient is φ = 63258624.

The previous prime is 212153413. The next prime is 212153477. The reversal of 212153472 is 274351212.

212153472 is a `hidden beast` number, since 2 + 121 + 534 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212153477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351218 + ... + 1351374.

It is an arithmetic number, because the mean of its divisors is an integer number (2719575).

Almost surely, 2212153472 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 212153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348105600).

212153472 is an abundant number, since it is smaller than the sum of its proper divisors (484057728).

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

212153472 is a wasteful number, since it uses less digits than its factorization.

212153472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 212153472 is about 14565.4890752079. The cubic root of 212153472 is about 596.4170466649.

The spelling of 212153472 in words is "two hundred twelve million, one hundred fifty-three thousand, four hundred seventy-two".