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10226430 = 232537283
BaseRepresentation
bin100111000000…
…101011111110
3201020120000200
4213000223332
510104221210
61003104330
7152631444
oct47005376
921216020
1010226430
1158552a5
1235120a6
132170956
141502b94
15d700c0
hex9c0afe

10226430 has 72 divisors (see below), whose sum is σ = 27655992. Its totient is φ = 2621376.

The previous prime is 10226429. The next prime is 10226431. The reversal of 10226430 is 3462201.

It is a happy number.

10226430 is a `hidden beast` number, since 1 + 0 + 22 + 643 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10226429) and next prime (10226431).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123169 + ... + 123251.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 210226430 is an apocalyptic number.

10226430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10226430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827996).

10226430 is an abundant number, since it is smaller than the sum of its proper divisors (17429562).

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

10226430 is a wasteful number, since it uses less digits than its factorization.

10226430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10226430 is about 3197.8789845771. The cubic root of 10226430 is about 217.0574433638.

Adding to 10226430 its reverse (3462201), we get a palindrome (13688631).

The spelling of 10226430 in words is "ten million, two hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 83 90 111 166 185 222 249 333 370 415 498 555 666 747 830 1110 1245 1369 1494 1665 2490 2738 3071 3330 3735 4107 6142 6845 7470 8214 9213 12321 13690 15355 18426 20535 24642 27639 30710 41070 46065 55278 61605 92130 113627 123210 138195 227254 276390 340881 568135 681762 1022643 1136270 1704405 2045286 3408810 5113215 10226430