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10412223224 = 2313416140031
BaseRepresentation
bin10011011001001110…
…11110101011111000
3222212122102202002012
421230213132223320
5132311012120344
64441110025052
7516011302634
oct115447365370
928778382065
1010412223224
114463479467
122027048188
13c9c21b540
1470abc9dc4
1540e18829e
hex26c9deaf8

10412223224 has 64 divisors (see below), whose sum is σ = 21891098880. Its totient is φ = 4611456000.

The previous prime is 10412223209. The next prime is 10412223233. The reversal of 10412223224 is 42232221401.

It is a self number, because there is not a number n which added to its sum of digits gives 10412223224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240089 + ... + 280119.

It is an arithmetic number, because the mean of its divisors is an integer number (342048420).

Almost surely, 210412223224 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 10412223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945549440).

10412223224 is an abundant number, since it is smaller than the sum of its proper divisors (11478875656).

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

10412223224 is a wasteful number, since it uses less digits than its factorization.

10412223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40152 (or 40148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10412223224 its reverse (42232221401), we get a palindrome (52644444625).

The spelling of 10412223224 in words is "ten billion, four hundred twelve million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 41 52 61 82 104 122 164 244 328 488 533 793 1066 1586 2132 2501 3172 4264 5002 6344 10004 20008 32513 40031 65026 80062 130052 160124 260104 320248 520403 1040806 1641271 2081612 2441891 3282542 4163224 4883782 6565084 9767564 13130168 19535128 21336523 31744583 42673046 63489166 85346092 100117531 126978332 170692184 200235062 253956664 400470124 800940248 1301527903 2603055806 5206111612 10412223224