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22213422 = 23271123147
BaseRepresentation
bin101010010111…
…1001100101110
31112210120002100
41110233030232
521141312142
62112035530
7356545110
oct124571456
945716070
1022213422
11115a2300
127532ba6
1347a9a4a
142d433b0
151e3bb4c
hex152f32e

22213422 has 144 divisors (see below), whose sum is σ = 63737856. Its totient is φ = 5464800.

The previous prime is 22213417. The next prime is 22213439. The reversal of 22213422 is 22431222.

It is a super-2 number, since 2×222134222 = 986872233900168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22213395 and 22213404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472603 + ... + 472649.

It is an arithmetic number, because the mean of its divisors is an integer number (442624).

Almost surely, 222213422 is an apocalyptic number.

22213422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22213422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31868928).

22213422 is an abundant number, since it is smaller than the sum of its proper divisors (41524434).

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

22213422 is a wasteful number, since it uses less digits than its factorization.

22213422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 22213422 is about 4713.1117109612. Note that the first 3 decimals coincide. The cubic root of 22213422 is about 281.1071048928.

Adding to 22213422 its reverse (22431222), we get a palindrome (44644644).

It can be divided in two parts, 22 and 213422, that added together give a square (213444 = 4622).

The spelling of 22213422 in words is "twenty-two million, two hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 47 62 63 66 77 93 94 99 121 126 141 154 186 198 217 231 242 279 282 329 341 363 423 434 462 517 558 651 658 682 693 726 846 847 987 1023 1034 1089 1302 1386 1457 1551 1694 1953 1974 2046 2178 2387 2541 2914 2961 3069 3102 3619 3751 3906 4371 4653 4774 5082 5687 5922 6138 7161 7238 7502 7623 8742 9306 10199 10857 11253 11374 13113 14322 15246 16027 17061 20398 21483 21714 22506 26226 26257 30597 32054 32571 33759 34122 39809 42966 48081 51183 52514 61194 65142 67518 78771 79618 91791 96162 102366 112189 119427 144243 157542 176297 183582 224378 236313 238854 288486 336567 352594 358281 472626 528891 673134 716562 1009701 1057782 1234079 1586673 2019402 2468158 3173346 3702237 7404474 11106711 22213422