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22230403272 = 23327118348311
BaseRepresentation
bin10100101101000010…
…010000100011001000
32010101021102111100100
4110231002100203020
5331011440401042
614113522405400
71414614211230
oct245502204310
963337374310
1022230403272
119478535010
124384b00860
1321337c299c
14110c5d8cc0
158a199124c
hex52d0908c8

22230403272 has 192 divisors, whose sum is σ = 75969653760. Its totient is φ = 5704444800.

The previous prime is 22230403271. The next prime is 22230403291. The reversal of 22230403272 is 27230403222.

It is a happy number.

22230403272 is a `hidden beast` number, since 2 + 2 + 230 + 403 + 27 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (22230403271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435997 + ... + 484307.

It is an arithmetic number, because the mean of its divisors is an integer number (395675280).

Almost surely, 222230403272 is an apocalyptic number.

22230403272 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 22230403272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37984826880).

22230403272 is an abundant number, since it is smaller than the sum of its proper divisors (53739250488).

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

22230403272 is a wasteful number, since it uses less digits than its factorization.

22230403272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48424 (or 48417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 22230403272 its reverse (27230403222), we get a palindrome (49460806494).

The spelling of 22230403272 in words is "twenty-two billion, two hundred thirty million, four hundred three thousand, two hundred seventy-two".