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22201220112 = 243371392647
BaseRepresentation
bin10100101011010010…
…111011110000010000
32010022020111211120120
4110223102323300100
5330432003020422
614111001110240
71414111154151
oct245322736020
963266454516
1022201220112
1194630122a5
124377188380
13212a745746
14110879d928
1589e12945c
hex52b4bbc10

22201220112 has 120 divisors (see below), whose sum is σ = 59421750336. Its totient is φ = 7137545472.

The previous prime is 22201220089. The next prime is 22201220123. The reversal of 22201220112 is 21102210222.

It is a super-2 number, since 2×222012201122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22201220091 and 22201220100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34313773 + ... + 34314419.

Almost surely, 222201220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29710875168).

22201220112 is an abundant number, since it is smaller than the sum of its proper divisors (37220530224).

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

22201220112 is a wasteful number, since it uses less digits than its factorization.

22201220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22201220112 its reverse (21102210222), we get a palindrome (43303430334).

The spelling of 22201220112 in words is "twenty-two billion, two hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 139 148 222 278 296 417 444 556 592 647 834 888 1112 1294 1668 1776 1941 2224 2588 3336 3882 5143 5176 6672 7764 10286 10352 15429 15528 19321 20572 23939 30858 31056 38642 41144 47878 57963 61716 71817 77284 82288 89933 95756 115926 123432 143634 154568 179866 191512 231852 246864 269799 287268 309136 359732 383024 463704 539598 574536 714877 719464 927408 1079196 1149072 1429754 1438928 2144631 2158392 2859508 3327521 4289262 4316784 5719016 6655042 8578524 9982563 11438032 12500687 13310084 17157048 19965126 25001374 26620168 34314096 37502061 39930252 50002748 53240336 75004122 79860504 100005496 150008244 159721008 200010992 300016488 462525419 600032976 925050838 1387576257 1850101676 2775152514 3700203352 5550305028 7400406704 11100610056 22201220112