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10224224142 = 23113110149477
BaseRepresentation
bin10011000010110100…
…10100011110001110
3222101112200101211020
421201122110132032
5131414400133032
64410312335010
7511236320436
oct114132243616
928345611736
1010224224142
114377342a20
121b940a4466
13c6c2a6792
146cdc4d2c6
153ec8eeb2c
hex26169478e

10224224142 has 64 divisors (see below), whose sum is σ = 23255451648. Its totient is φ = 2968560000.

The previous prime is 10224224119. The next prime is 10224224149. The reversal of 10224224142 is 24142242201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224224149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181908 + ... + 231384.

It is an arithmetic number, because the mean of its divisors is an integer number (363366432).

Almost surely, 210224224142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224224142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11627725824).

10224224142 is an abundant number, since it is smaller than the sum of its proper divisors (13031227506).

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

10224224142 is a wasteful number, since it uses less digits than its factorization.

10224224142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49625.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10224224142 its reverse (24142242201), we get a palindrome (34366466343).

The spelling of 10224224142 in words is "ten billion, two hundred twenty-four million, two hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 186 202 303 341 606 682 1023 1111 2046 2222 3131 3333 6262 6666 9393 18786 34441 49477 68882 98954 103323 148431 206646 296862 544247 1088494 1533787 1632741 3067574 3265482 4601361 4997177 9202722 9994354 14991531 16871657 29983062 33743314 50614971 54968947 101229942 109937894 154912487 164906841 309824974 329813682 464737461 929474922 1704037357 3408074714 5112112071 10224224142