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212132272 = 24112834259
BaseRepresentation
bin11001010010011…
…10000110110000
3112210011102202211
430221032012300
5413301213042
633014421504
75154044302
oct1451160660
9483142684
10212132272
11a981a130
125b061894
1334c44571
142025d972
1513954017
hexca4e1b0

212132272 has 40 divisors (see below), whose sum is σ = 450060480. Its totient is φ = 96060480.

The previous prime is 212132267. The next prime is 212132281. The reversal of 212132272 is 272231212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47679 + ... + 51937.

It is an arithmetic number, because the mean of its divisors is an integer number (11251512).

Almost surely, 2212132272 is an apocalyptic number.

212132272 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 212132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225030240).

212132272 is an abundant number, since it is smaller than the sum of its proper divisors (237928208).

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

212132272 is a wasteful number, since it uses less digits than its factorization.

212132272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4555 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 212132272 is about 14564.7613094070. The cubic root of 212132272 is about 596.3971798165.

Adding to 212132272 its reverse (272231212), we get a palindrome (484363484).

The spelling of 212132272 in words is "two hundred twelve million, one hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 283 566 1132 2264 3113 4259 4528 6226 8518 12452 17036 24904 34072 46849 49808 68144 93698 187396 374792 749584 1205297 2410594 4821188 9642376 13258267 19284752 26516534 53033068 106066136 212132272