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10242232 = 23711131279
BaseRepresentation
bin100111000100…
…100010111000
3201021100200221
4213010202320
510110222412
61003305424
7153025510
oct47044270
921240627
1010242232
115866160
12351b274
132177bc0
141508840
15d74b07
hex9c48b8

10242232 has 64 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 3680640.

The previous prime is 10242187. The next prime is 10242233. The reversal of 10242232 is 23224201.

It is a super-3 number, since 3×102422323 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7369 + ... + 8647.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 210242232 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 10242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902400).

10242232 is an abundant number, since it is smaller than the sum of its proper divisors (15562568).

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

10242232 is a wasteful number, since it uses less digits than its factorization.

10242232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10242232 is about 3200.3487309979. The cubic root of 10242232 is about 217.1691857338.

Adding to 10242232 its reverse (23224201), we get a palindrome (33466433).

It can be divided in two parts, 10 and 242232, that added together give a palindrome (242242).

The spelling of 10242232 in words is "ten million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 1279 2002 2558 4004 5116 8008 8953 10232 14069 16627 17906 28138 33254 35812 56276 66508 71624 98483 112552 116389 133016 182897 196966 232778 365794 393932 465556 731588 787864 931112 1280279 1463176 2560558 5121116 10242232