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8013222 = 2337172943
BaseRepresentation
bin11110100100010110100110
3120002010002000
4132210112212
54022410342
6443430130
7125053110
oct36442646
916063060
108013222
1145834a8
122825346
131877469
1410c83b0
15a8444c
hex7a45a6

8013222 has 128 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 2032128.

The previous prime is 8013157. The next prime is 8013233. The reversal of 8013222 is 2223108.

It is a happy number.

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 = 8013195 and 8013204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186333 + ... + 186375.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 28013222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

8013222 is an abundant number, since it is smaller than the sum of its proper divisors (14796378).

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

8013222 is a wasteful number, since it uses less digits than its factorization.

8013222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8013222 is about 2830.7635012484. The cubic root of 8013222 is about 200.1101226872.

The spelling of 8013222 in words is "eight million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 29 34 42 43 51 54 58 63 86 87 102 119 126 129 153 174 189 203 238 258 261 301 306 357 378 387 406 459 493 522 602 609 714 731 774 783 903 918 986 1071 1161 1218 1247 1462 1479 1566 1806 1827 2142 2193 2322 2494 2709 2958 3213 3451 3654 3741 4386 4437 5117 5418 5481 6426 6579 6902 7482 8127 8729 8874 10234 10353 10962 11223 13158 13311 15351 16254 17458 19737 20706 21199 22446 26187 26622 30702 31059 33669 39474 42398 46053 52374 62118 63597 67338 78561 92106 93177 127194 138159 148393 157122 186354 190791 235683 276318 296786 381582 445179 471366 572373 890358 1144746 1335537 2671074 4006611 8013222