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72227181 = 3135383421
BaseRepresentation
bin1000100111000…
…01100101101101
312000220112001210
410103201211231
5121442232211
611100025033
71534630605
oct423414555
9160815053
1072227181
1137852394
1220232179
1311c6b4a0
149841c05
15651a9a6
hex44e196d

72227181 has 32 divisors (see below), whose sum is σ = 107194752. Its totient is φ = 42981120.

The previous prime is 72227173. The next prime is 72227201. The reversal of 72227181 is 18172227.

It is a happy number.

It is not a de Polignac number, because 72227181 - 23 = 72227173 is a prime.

It is a super-4 number, since 4×722271814 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72227161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171351 + ... + 171771.

It is an arithmetic number, because the mean of its divisors is an integer number (3349836).

Almost surely, 272227181 is an apocalyptic number.

It is an amenable number.

72227181 is a deficient number, since it is larger than the sum of its proper divisors (34967571).

72227181 is a wasteful number, since it uses less digits than its factorization.

72227181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573.

The product of its digits is 3136, while the sum is 30.

The square root of 72227181 is about 8498.6575998801. The cubic root of 72227181 is about 416.4538566248.

The spelling of 72227181 in words is "seventy-two million, two hundred twenty-seven thousand, one hundred eighty-one".

Divisors: 1 3 13 39 53 83 159 249 421 689 1079 1263 2067 3237 4399 5473 13197 16419 22313 34943 57187 66939 104829 171561 290069 454259 870207 1362777 1851979 5555937 24075727 72227181