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22221200112 = 2431937691953
BaseRepresentation
bin10100101100011111…
…001001101011110000
32010100122002220222120
4110230133021223300
5331002111400422
614112553234240
71414443040656
oct245437115360
963318086876
1022221200112
1194733195a1
124381a02980
13213191ca27
14110b2c0dd6
158a0c7445c
hex52c7c9af0

22221200112 has 160 divisors (see below), whose sum is σ = 62214232320. Its totient is φ = 6810531840.

The previous prime is 22221200081. The next prime is 22221200129. The reversal of 22221200112 is 21100212222.

It is a junction number, because it is equal to n+sod(n) for n = 22221200091 and 22221200100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23316628 + ... + 23317580.

It is an arithmetic number, because the mean of its divisors is an integer number (388838952).

Almost surely, 222221200112 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 22221200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31107116160).

22221200112 is an abundant number, since it is smaller than the sum of its proper divisors (39993032208).

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

22221200112 is a wasteful number, since it uses less digits than its factorization.

22221200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1705 counting only the distinct ones).

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

Adding to 22221200112 its reverse (21100212222), we get a palindrome (43321412334).

The spelling of 22221200112 in words is "twenty-two billion, two hundred twenty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 691 703 888 912 953 1382 1406 1776 1906 2073 2109 2764 2812 2859 3812 4146 4218 5528 5624 5718 7624 8292 8436 11056 11248 11436 13129 15248 16584 16872 18107 22872 25567 26258 33168 33744 35261 36214 39387 45744 51134 52516 54321 70522 72428 76701 78774 102268 105032 105783 108642 141044 144856 153402 157548 204536 210064 211566 217284 282088 289712 306804 315096 409072 423132 434568 485773 564176 613608 630192 658523 669959 846264 869136 971546 1227216 1317046 1339918 1457319 1692528 1943092 1975569 2009877 2634092 2679836 2914638 3886184 3951138 4019754 5268184 5359672 5829276 7772368 7902276 8039508 10536368 10719344 11658552 12511937 15804552 16079016 23317104 24365351 25023874 31609104 32158032 37535811 48730702 50047748 73096053 75071622 97461404 100095496 146192106 150143244 194922808 200190992 292384212 300286488 389845616 462941669 584768424 600572976 925883338 1169536848 1388825007 1851766676 2777650014 3703533352 5555300028 7407066704 11110600056 22221200112