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10022424 = 2331931709
BaseRepresentation
bin100110001110…
…111000011000
3200212012011220
4212032320120
510031204144
6554452040
7151121616
oct46167030
920765156
1010022424
115725aa5
123434020
1320cbb39
14148c6b6
15d2e919
hex98ee18

10022424 has 64 divisors (see below), whose sum is σ = 27264000. Its totient is φ = 3058560.

The previous prime is 10022399. The next prime is 10022437. The reversal of 10022424 is 42422001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13782 + ... + 14490.

It is an arithmetic number, because the mean of its divisors is an integer number (426000).

Almost surely, 210022424 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 10022424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632000).

10022424 is an abundant number, since it is smaller than the sum of its proper divisors (17241576).

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

10022424 is a wasteful number, since it uses less digits than its factorization.

10022424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10022424 is about 3165.8212204734. The cubic root of 10022424 is about 215.6043855949.

Adding to 10022424 its reverse (42422001), we get a palindrome (52444425).

The spelling of 10022424 in words is "ten million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 709 744 1178 1418 1767 2127 2356 2836 3534 4254 4712 5672 7068 8508 13471 14136 17016 21979 26942 40413 43958 53884 65937 80826 87916 107768 131874 161652 175832 263748 323304 417601 527496 835202 1252803 1670404 2505606 3340808 5011212 10022424