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10227302344 = 23739913761
BaseRepresentation
bin10011000011001100…
…00011111111001000
3222101202110210022201
421201212003333020
5131421142133334
64410502325544
7511304431000
oct114146037710
928352423281
1010227302344
114379055696
121b951298b4
13c6cb138bc
146d0411000
153ecd0bc14
hex261983fc8

10227302344 has 64 divisors (see below), whose sum is σ = 22391424000. Its totient is φ = 4377542400.

The previous prime is 10227302341. The next prime is 10227302377. The reversal of 10227302344 is 44320372201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10227302341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717424 + ... + 2721184.

It is an arithmetic number, because the mean of its divisors is an integer number (349866000).

Almost surely, 210227302344 is an apocalyptic number.

10227302344 is a gapful number since it is divisible by the number (14) 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 10227302344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195712000).

10227302344 is an abundant number, since it is smaller than the sum of its proper divisors (12164121656).

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

10227302344 is an equidigital number, since it uses as much as digits as its factorization.

10227302344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 10227302344 its reverse (44320372201), we get a palindrome (54547674545).

The spelling of 10227302344 in words is "ten billion, two hundred twenty-seven million, three hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 991 1372 1982 2744 3761 3964 6937 7522 7928 13874 15044 26327 27748 30088 48559 52654 55496 97118 105308 184289 194236 210616 339913 368578 388472 679826 737156 1290023 1359652 1474312 2580046 2719304 3727151 5160092 7454302 10320184 14908604 26090057 29817208 52180114 104360228 182630399 208720456 365260798 730521596 1278412793 1461043192 2556825586 5113651172 10227302344