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106062222 = 2372931532
BaseRepresentation
bin1100101001001…
…10000110001110
321101120112000110
412110212012032
5204122442342
614305140450
72425341210
oct624460616
9241515013
10106062222
1154962132
122b62a726
1318c86c16
141012c5b0
1594a0c9c
hex652618e

106062222 has 96 divisors (see below), whose sum is σ = 263854080. Its totient is φ = 27780480.

The previous prime is 106062217. The next prime is 106062233. The reversal of 106062222 is 222260601.

It is a super-2 number, since 2×1060622222 = 22498389871154568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001148 + ... + 2001200.

It is an arithmetic number, because the mean of its divisors is an integer number (2748480).

Almost surely, 2106062222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106062222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131927040).

106062222 is an abundant number, since it is smaller than the sum of its proper divisors (157791858).

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

106062222 is a wasteful number, since it uses less digits than its factorization.

106062222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106062222 is about 10298.6514651191. The cubic root of 106062222 is about 473.3549326695.

It can be divided in two parts, 10606 and 2222, that multiplied together give a palindrome (23566532).

The spelling of 106062222 in words is "one hundred six million, sixty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 31 42 53 58 62 87 93 106 159 174 186 203 217 318 371 406 434 609 651 742 899 1113 1218 1302 1537 1643 1798 2226 2697 2809 3074 3286 4611 4929 5394 5618 6293 8427 9222 9858 10759 11501 12586 16854 18879 19663 21518 23002 32277 34503 37758 39326 47647 58989 64554 69006 81461 87079 95294 117978 142941 162922 174158 244383 261237 285882 333529 488766 522474 570227 609553 667058 1000587 1140454 1219106 1710681 1828659 2001174 2525291 3421362 3657318 5050582 7575873 15151746 17677037 35354074 53031111 106062222