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22211221122 = 23219157569727
BaseRepresentation
bin10100101011111001…
…000101011010000010
32010022221022221101100
4110223321011122002
5330442033033442
614111555315230
71414262156466
oct245371053202
963287287340
1022211221122
1194687231a2
12437a5abb16
13212c8378bc
141109c444a6
1589ee5284c
hex52be45682

22211221122 has 96 divisors (see below), whose sum is σ = 51139670400. Its totient is φ = 6947576064.

The previous prime is 22211221111. The next prime is 22211221169. The reversal of 22211221122 is 22112211222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22211221095 and 22211221104.

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, 30551523 + ... + 30552249.

It is an arithmetic number, because the mean of its divisors is an integer number (532704900).

Almost surely, 222211221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25569835200).

22211221122 is an abundant number, since it is smaller than the sum of its proper divisors (28928449278).

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

22211221122 is a wasteful number, since it uses less digits than its factorization.

22211221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1477 counting only the distinct ones).

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

Adding to 22211221122 its reverse (22112211222), we get a palindrome (44323432344).

It can be divided in two parts, 2 and 2211221122, that multiplied together give a palindrome (4422442244).

The spelling of 22211221122 in words is "twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 157 171 314 342 471 569 727 942 1138 1413 1454 1707 2181 2826 2983 3414 4362 5121 5966 6543 8949 10242 10811 13086 13813 17898 21622 26847 27626 32433 41439 53694 64866 82878 89333 97299 114139 124317 178666 194598 228278 248634 267999 342417 413663 535998 684834 803997 827326 1027251 1240989 1607994 1697327 2054502 2168641 2481978 3394654 3722967 4337282 5091981 6505923 7445934 7859597 10183962 13011846 15275943 15719194 19517769 23578791 30551886 39035538 47157582 64945091 70736373 129890182 141472746 194835273 389670546 584505819 1169011638 1233956729 2467913458 3701870187 7403740374 11105610561 22211221122