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212351272 = 23723173953
BaseRepresentation
bin11001010100000…
…11100100101000
3112210120120011221
430222003210220
5413330220042
633023231424
75155645630
oct1452034450
9483516157
10212351272
11a9959721
125b148574
1334cc0153
14202b96c0
1513998d67
hexca83928

212351272 has 64 divisors (see below), whose sum is σ = 478068480. Its totient is φ = 86456832.

The previous prime is 212351257. The next prime is 212351281. The reversal of 212351272 is 272153212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222348 + ... + 223300.

It is an arithmetic number, because the mean of its divisors is an integer number (7469820).

Almost surely, 2212351272 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 212351272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239034240).

212351272 is an abundant number, since it is smaller than the sum of its proper divisors (265717208).

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

212351272 is a wasteful number, since it uses less digits than its factorization.

212351272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 212351272 is about 14572.2775158861. The cubic root of 212351272 is about 596.6023443591.

The spelling of 212351272 in words is "two hundred twelve million, three hundred fifty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 173 184 322 346 644 692 953 1211 1288 1384 1906 2422 3812 3979 4844 6671 7624 7958 9688 13342 15916 21919 26684 27853 31832 43838 53368 55706 87676 111412 153433 164869 175352 222824 306866 329738 613732 659476 1154083 1227464 1318952 2308166 3791987 4616332 7583974 9232664 15167948 26543909 30335896 53087818 106175636 212351272