Search a number
-
+
22002214122 = 2327227192051
BaseRepresentation
bin10100011111011011…
…110010010011101010
32002210101001021200100
4110133123302103222
5330030031322442
614035131450230
71406143506600
oct243733622352
962711037610
1022002214122
119370749139
1243205b6976
1320c8448a15
1410ca199870
1588b91984c
hex51f6f24ea

22002214122 has 72 divisors (see below), whose sum is σ = 55659794112. Its totient is φ = 6263082000.

The previous prime is 22002214103. The next prime is 22002214139. The reversal of 22002214122 is 22141220022.

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 = 22002214095 and 22002214104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192997 + ... + 285047.

It is an arithmetic number, because the mean of its divisors is an integer number (773052696).

Almost surely, 222002214122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002214122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27829897056).

22002214122 is an abundant number, since it is smaller than the sum of its proper divisors (33657579990).

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

22002214122 is a wasteful number, since it uses less digits than its factorization.

22002214122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92344 (or 92334 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22002214122 its reverse (22141220022), we get a palindrome (44143434144).

The spelling of 22002214122 in words is "twenty-two billion, two million, two hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 271 294 441 542 813 882 1626 1897 2439 3794 4878 5691 11382 13279 17073 26558 34146 39837 79674 92051 119511 184102 239022 276153 552306 644357 828459 1288714 1656918 1933071 3866142 4510499 5799213 9020998 11598426 13531497 24945821 27062994 40594491 49891642 74837463 81188982 149674926 174620747 224512389 349241494 449024778 523862241 1047724482 1222345229 1571586723 2444690458 3143173446 3667035687 7334071374 11001107061 22002214122