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2214334122 = 23711413277
BaseRepresentation
bin1000001111111100…
…0000111010101010
312201022122211100220
42003333000322222
514013332142442
61003420510510
7105605346420
oct20377007252
95638584326
102214334122
11a36a30000
125196ab436
132939acba0
1417012d110
15ce5edeec
hex83fc0eaa

2214334122 has 160 divisors (see below), whose sum is σ = 6017343360. Its totient is φ = 528992640.

The previous prime is 2214334103. The next prime is 2214334127.

It is a happy number.

2214334122 is nontrivially palindromic in base 10.

2214334122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2214334092 and 2214334101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214334127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7993848 + ... + 7994124.

It is an arithmetic number, because the mean of its divisors is an integer number (37608396).

Almost surely, 22214334122 is an apocalyptic number.

2214334122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214334122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008671680).

2214334122 is an abundant number, since it is smaller than the sum of its proper divisors (3803009238).

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

2214334122 is a wasteful number, since it uses less digits than its factorization.

2214334122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 313 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2214334122 is about 47056.7117635731. The cubic root of 2214334122 is about 1303.4100064274.

It can be divided in two parts, 22143 and 34122, that added together give a palindrome (56265).

The spelling of 2214334122 in words is "two billion, two hundred fourteen million, three hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 277 286 363 429 462 546 554 726 831 847 858 1001 1331 1573 1662 1694 1939 2002 2541 2662 3003 3047 3146 3601 3878 3993 4719 5082 5817 6006 6094 7202 7986 9141 9317 9438 10803 11011 11634 14641 17303 18282 18634 21329 21606 22022 25207 27951 29282 33033 33517 34606 39611 42658 43923 50414 51909 55902 63987 66066 67034 75621 79222 87846 100551 102487 103818 118833 121121 127974 151242 190333 201102 204974 234619 237666 242242 277277 307461 363363 368687 380666 435721 469238 554554 570999 614922 703857 726726 737374 831831 871442 1106061 1141998 1307163 1332331 1407714 1663662 2212122 2580809 2614326 2664662 3050047 3996993 4055557 4792931 5161618 6100094 7742427 7993986 8111114 9150141 9585862 12166671 14378793 15484854 18300282 24333342 28388899 28757586 33550517 52722241 56777798 67101034 85166697 100651551 105444482 158166723 170333394 201303102 316333446 369055687 738111374 1107167061 2214334122