Search a number
-
+
220670982 = 232717711451
BaseRepresentation
bin11010010011100…
…10110000000110
3120101020020200100
431021302300012
5422442432412
633521424530
75316446430
oct1511626006
9511206610
10220670982
11103621414
1261a9b146
1336943c5c
1421443650
151458dedc
hexd272c06

220670982 has 96 divisors (see below), whose sum is σ = 587119104. Its totient is φ = 58464000.

The previous prime is 220670981. The next prime is 220671029. The reversal of 220670982 is 289076022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220670981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151357 + ... + 152807.

It is an arithmetic number, because the mean of its divisors is an integer number (6115824).

Almost surely, 2220670982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220670982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293559552).

220670982 is an abundant number, since it is smaller than the sum of its proper divisors (366448122).

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

220670982 is a wasteful number, since it uses less digits than its factorization.

220670982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 220670982 is about 14854.9985526758. The cubic root of 220670982 is about 604.2941767577.

The spelling of 220670982 in words is "two hundred twenty million, six hundred seventy thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 71 102 119 126 142 153 213 238 306 357 426 497 639 714 994 1071 1207 1278 1451 1491 2142 2414 2902 2982 3621 4353 4473 7242 8449 8706 8946 10157 10863 13059 16898 20314 21726 24667 25347 26118 30471 49334 50694 60942 74001 76041 91413 103021 148002 152082 172669 182826 206042 222003 309063 345338 444006 518007 618126 721147 927189 1036014 1442294 1554021 1751357 1854378 2163441 3108042 3502714 4326882 5254071 6490323 10508142 12259499 12980646 15762213 24518998 31524426 36778497 73556994 110335491 220670982