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10227423360 = 2735711219331
BaseRepresentation
bin10011000011001101…
…00001100010000000
3222101202200221022210
421201212201202000
5131421210021420
64410505102120
7511305443550
oct114146414200
928352627283
1010227423360
114379128600
121b95187940
13c6cb569cb
146d0443160
153ecd329e0
hex2619a1880

10227423360 has 768 divisors, whose sum is σ = 43237555200. Its totient is φ = 2007244800.

The previous prime is 10227423331. The next prime is 10227423361. The reversal of 10227423360 is 6332472201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10227423361) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 30898395 + ... + 30898725.

It is an arithmetic number, because the mean of its divisors is an integer number (56298900).

Almost surely, 210227423360 is an apocalyptic number.

10227423360 is a gapful number since it is divisible by the number (10) 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 10227423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21618777600).

10227423360 is an abundant number, since it is smaller than the sum of its proper divisors (33010131840).

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

10227423360 is a wasteful number, since it uses less digits than its factorization.

10227423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 10227423360 its reverse (6332472201), we get a palindrome (16559895561).

The spelling of 10227423360 in words is "ten billion, two hundred twenty-seven million, four hundred twenty-three thousand, three hundred sixty".