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10227673060 = 22511359129497
BaseRepresentation
bin10011000011001110…
…11110011111100100
3222101210011121211221
421201213132133210
5131421241014220
64410514310124
7511310533543
oct114147363744
928353147757
1010227673060
114379289170
121b95288344
13c6cc13567
146d04aa15a
153ecd819aa
hex2619de7e4

10227673060 has 48 divisors (see below), whose sum is σ = 23496117120. Its totient is φ = 3708765440.

The previous prime is 10227673033. The next prime is 10227673063. The reversal of 10227673060 is 6037672201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10227673063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14232 + ... + 143728.

It is an arithmetic number, because the mean of its divisors is an integer number (489502440).

Almost surely, 210227673060 is an apocalyptic number.

10227673060 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 10227673060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748058560).

10227673060 is an abundant number, since it is smaller than the sum of its proper divisors (13268444060).

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

10227673060 is a wasteful number, since it uses less digits than its factorization.

10227673060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129876 (or 129874 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 10227673060 in words is "ten billion, two hundred twenty-seven million, six hundred seventy-three thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 359 718 1436 1795 3590 3949 7180 7898 15796 19745 39490 78980 129497 258994 517988 647485 1294970 1424467 2589940 2848934 5697868 7122335 14244670 28489340 46489423 92978846 185957692 232447115 464894230 511383653 929788460 1022767306 2045534612 2556918265 5113836530 10227673060