Search a number
-
+
10095228 = 223211133753
BaseRepresentation
bin100110100000…
…101001111100
3200222220001100
4212200221330
510041021403
61000213100
7151544103
oct46405174
920886040
1010095228
115775770
12346a190
132126010
1414ab03a
15d462a3
hex9a0a7c

10095228 has 144 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 2695680.

The previous prime is 10095209. The next prime is 10095247. The reversal of 10095228 is 82259001.

It is an interprime number because it is at equal distance from previous prime (10095209) and next prime (10095247).

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 47 ways as a sum of consecutive naturals, for example, 190450 + ... + 190502.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 210095228 is an apocalyptic number.

10095228 is a gapful number since it is divisible by the number (18) 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 10095228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

10095228 is an abundant number, since it is smaller than the sum of its proper divisors (21275748).

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

10095228 is a wasteful number, since it uses less digits than its factorization.

10095228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10095228 is about 3177.2988527993. The cubic root of 10095228 is about 216.1251846358.

The spelling of 10095228 in words is "ten million, ninety-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 37 39 44 52 53 66 74 78 99 106 111 117 132 143 148 156 159 198 212 222 234 286 318 333 396 407 429 444 468 477 481 572 583 636 666 689 814 858 954 962 1166 1221 1287 1332 1378 1443 1628 1716 1749 1908 1924 1961 2067 2332 2442 2574 2756 2886 3498 3663 3922 4134 4329 4884 5148 5247 5291 5772 5883 6201 6996 7326 7579 7844 8268 8658 10494 10582 11766 12402 14652 15158 15873 17316 17649 20988 21164 21571 22737 23532 24804 25493 30316 31746 35298 43142 45474 47619 50986 63492 64713 68211 70596 76479 86284 90948 95238 101972 129426 136422 152958 190476 194139 229437 258852 272844 280423 305916 388278 458874 560846 776556 841269 917748 1121692 1682538 2523807 3365076 5047614 10095228