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662266164 = 223725379269
BaseRepresentation
bin100111011110010…
…110000100110100
31201011011121101110
4213132112010310
52324020004124
6145414355020
722261112100
oct4736260464
91634147343
10662266164
1130a91740a
1216595ba70
13a728a191
1463d54900
153d21c029
hex27796134

662266164 has 144 divisors (see below), whose sum is σ = 1861574400. Its totient is φ = 182617344.

The previous prime is 662266159. The next prime is 662266193. The reversal of 662266164 is 461662266.

662266164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 2461822 + ... + 2462090.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 2662266164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 662266164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930787200).

662266164 is an abundant number, since it is smaller than the sum of its proper divisors (1199308236).

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

662266164 is a wasteful number, since it uses less digits than its factorization.

662266164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 662266164 is about 25734.5325195543. The cubic root of 662266164 is about 871.6541234814.

It can be divided in two parts, 66226 and 6164, that added together give a triangular number (72390 = T380).

The spelling of 662266164 in words is "six hundred sixty-two million, two hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 79 84 98 106 147 158 159 196 212 237 269 294 316 318 371 474 538 553 588 636 742 807 948 1076 1106 1113 1484 1614 1659 1883 2212 2226 2597 3228 3318 3766 3871 4187 4452 5194 5649 6636 7532 7742 7791 8374 10388 11298 11613 12561 13181 14257 15484 15582 16748 21251 22596 23226 25122 26362 28514 29309 31164 39543 42502 42771 46452 50244 52724 57028 58618 63753 79086 85004 85542 87927 99799 117236 127506 148757 158172 171084 175854 199598 205163 255012 297514 299397 351708 399196 410326 446271 595028 598794 615489 698593 820652 892542 1041299 1126303 1197588 1230978 1397186 1785084 2082598 2095779 2252606 2461956 2794372 3123897 3378909 4165196 4191558 4505212 6247794 6757818 7884121 8383116 12495588 13515636 15768242 23652363 31536484 47304726 55188847 94609452 110377694 165566541 220755388 331133082 662266164