Search a number
-
+
103022424 = 233231101457
BaseRepresentation
bin1100010001111…
…11111101011000
321011212002012100
412020333331120
5202333204144
614120043400
72360450631
oct610777530
9234762170
10103022424
11531762aa
122a603560
131846141b
14d97a888
1590a0269
hex623ff58

103022424 has 96 divisors (see below), whose sum is σ = 291507840. Its totient is φ = 32832000.

The previous prime is 103022411. The next prime is 103022429. The reversal of 103022424 is 424220301.

It is a super-2 number, since 2×1030224242 = 21227239693671552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103022397 and 103022406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225204 + ... + 225660.

It is an arithmetic number, because the mean of its divisors is an integer number (3036540).

Almost surely, 2103022424 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 103022424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145753920).

103022424 is an abundant number, since it is smaller than the sum of its proper divisors (188485416).

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

103022424 is a wasteful number, since it uses less digits than its factorization.

103022424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 103022424 is about 10149.9962561569. The cubic root of 103022424 is about 468.7888296367.

Adding to 103022424 its reverse (424220301), we get a palindrome (527242725).

The spelling of 103022424 in words is "one hundred three million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 101 124 186 202 248 279 303 372 404 457 558 606 744 808 909 914 1116 1212 1371 1818 1828 2232 2424 2742 3131 3636 3656 4113 5484 6262 7272 8226 9393 10968 12524 14167 16452 18786 25048 28179 28334 32904 37572 42501 46157 56358 56668 75144 85002 92314 112716 113336 127503 138471 170004 184628 225432 255006 276942 340008 369256 415413 510012 553884 830826 1020024 1107768 1430867 1661652 2861734 3323304 4292601 5723468 8585202 11446936 12877803 17170404 25755606 34340808 51511212 103022424