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10334022424 = 231131757089
BaseRepresentation
bin10011001111111010…
…01010101100011000
3222200012021201202021
421213331022230120
5132131002204144
64425233544224
7514041512155
oct114775125430
928605251667
1010334022424
114423317000
122004a15074
13c88c6b08b
1470067122c
1540738c884
hex267f4ab18

10334022424 has 64 divisors (see below), whose sum is σ = 22566535200. Its totient is φ = 4420894720.

The previous prime is 10334022421. The next prime is 10334022431. The reversal of 10334022424 is 42422043301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334022421) 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, 152472 + ... + 209560.

Almost surely, 210334022424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334022424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11283267600).

10334022424 is an abundant number, since it is smaller than the sum of its proper divisors (12232512776).

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

10334022424 is a wasteful number, since it uses less digits than its factorization.

10334022424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57145 (or 57119 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10334022424 its reverse (42422043301), we get a palindrome (52756065725).

The spelling of 10334022424 in words is "ten billion, three hundred thirty-four million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1331 1496 2057 2662 4114 5324 8228 10648 16456 22627 45254 57089 90508 114178 181016 228356 456712 627979 970513 1255958 1941026 2511916 3882052 5023832 6907769 7764104 10675643 13815538 21351286 27631076 42702572 55262152 75985459 85405144 117432073 151970918 234864146 303941836 469728292 607883672 939456584 1291752803 2583505606 5167011212 10334022424