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212214272 = 29974273
BaseRepresentation
bin11001010011000…
…10001000000000
3112210022121020212
430221202020000
5413311324042
633020253252
75154535334
oct1451421000
9483277225
10212214272
11a98757a6
125b0a1228
1334c7299a
14202817c4
151396d482
hexca62200

212214272 has 40 divisors (see below), whose sum is σ = 428485596. Its totient is φ = 104988672.

The previous prime is 212214269. The next prime is 212214311. The reversal of 212214272 is 272412212.

It can be written as a sum of positive squares in 2 ways, for example, as 207821056 + 4393216 = 14416^2 + 2096^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47528 + ... + 51800.

Almost surely, 2212214272 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 212214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214242798).

212214272 is an abundant number, since it is smaller than the sum of its proper divisors (216271324).

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

212214272 is an frugal number, since it uses more digits than its factorization.

212214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4372 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 212214272 is about 14567.5760509427. The cubic root of 212214272 is about 596.4740159469.

Adding to 212214272 its reverse (272412212), we get a palindrome (484626484).

The spelling of 212214272 in words is "two hundred twelve million, two hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 3104 4273 6208 8546 12416 17092 24832 34184 49664 68368 136736 273472 414481 546944 828962 1093888 1657924 2187776 3315848 6631696 13263392 26526784 53053568 106107136 212214272