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8221122 = 2337213239
BaseRepresentation
bin11111010111000111000010
3120110200021000
4133113013002
54101033442
6452112430
7126610200
oct37270702
916420230
108221122
114705718
122905716
13191ac90
141140070
15ac5d4c
hex7d71c2

8221122 has 96 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2159136.

The previous prime is 8221111. The next prime is 8221139. The reversal of 8221122 is 2211228.

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 = 8221095 and 8221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34279 + ... + 34517.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 28221122 is an apocalyptic number.

8221122 is the 1434-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

8221122 is an abundant number, since it is smaller than the sum of its proper divisors (14761278).

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

8221122 is a wasteful number, since it uses less digits than its factorization.

8221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 8221122 is about 2867.2499019095. The cubic root of 8221122 is about 201.8259619154.

The spelling of 8221122 in words is "eight million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 239 273 294 351 378 441 478 546 637 702 717 819 882 1274 1323 1434 1638 1673 1911 2151 2457 2646 3107 3346 3822 4302 4914 5019 5733 6214 6453 9321 10038 11466 11711 12906 15057 17199 18642 21749 23422 27963 30114 34398 35133 43498 45171 55926 65247 70266 83889 90342 105399 130494 152243 167778 195741 210798 304486 316197 391482 456729 587223 632394 913458 1174446 1370187 2740374 4110561 8221122