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10226434460 = 22511113411361
BaseRepresentation
bin10011000011000101…
…10000000110011100
3222101200211200210212
421201202300012130
5131420431400320
64410431551552
7511264154504
oct114142600634
928350750725
1010226434460
114378612630
121b9498b5b8
13c6c89b868
146d0266a04
153ecbd99c5
hex2618b019c

10226434460 has 48 divisors (see below), whose sum is σ = 23635215072. Its totient is φ = 3685785600.

The previous prime is 10226434457. The next prime is 10226434481. The reversal of 10226434460 is 6443462201.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180821 + ... + 230540.

It is an arithmetic number, because the mean of its divisors is an integer number (492400314).

Almost surely, 210226434460 is an apocalyptic number.

10226434460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226434460 is an abundant number, since it is smaller than the sum of its proper divisors (13408780612).

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

10226434460 is a wasteful number, since it uses less digits than its factorization.

10226434460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411494 (or 411492 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10226434460 its reverse (6443462201), we get a palindrome (16669896661).

The spelling of 10226434460 in words is "ten billion, two hundred twenty-six million, four hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 24860 411361 822722 1645444 2056805 4113610 4524971 8227220 9049942 18099884 22624855 45249710 46483793 90499420 92967586 185935172 232418965 464837930 511321723 929675860 1022643446 2045286892 2556608615 5113217230 10226434460