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10226736 = 243413607
BaseRepresentation
bin100111000000…
…110000110000
3201020120110000
4213000300300
510104223421
61003110000
7152632362
oct47006060
921216400
1010226736
115855553
123512300
132170b30
141502d32
15d70226
hex9c0c30

10226736 has 100 divisors (see below), whose sum is σ = 31928512. Its totient is φ = 3141504.

The previous prime is 10226729. The next prime is 10226759. The reversal of 10226736 is 63762201.

It is a happy number.

It is a super-2 number, since 2×102267362 = 209172258427392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16545 + ... + 17151.

Almost surely, 210226736 is an apocalyptic number.

10226736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10226736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964256).

10226736 is an abundant number, since it is smaller than the sum of its proper divisors (21701776).

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

10226736 is a wasteful number, since it uses less digits than its factorization.

10226736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10226736 is about 3197.9268284312. The cubic root of 10226736 is about 217.0596083069.

Adding to 10226736 its reverse (63762201), we get a palindrome (73988937).

The spelling of 10226736 in words is "ten million, two hundred twenty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 607 624 648 702 936 1053 1214 1296 1404 1821 1872 2106 2428 2808 3642 4212 4856 5463 5616 7284 7891 8424 9712 10926 14568 15782 16389 16848 21852 23673 29136 31564 32778 43704 47346 49167 63128 65556 71019 87408 94692 98334 126256 131112 142038 189384 196668 213057 262224 284076 378768 393336 426114 568152 639171 786672 852228 1136304 1278342 1704456 2556684 3408912 5113368 10226736