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22112211022192 = 2429735571172023
BaseRepresentation
bin1010000011100011001100…
…11110111011000101110000
32220021220111000010220020201
411001301212132323011300
510344241302010202232
6115010113130444544
74441361126334154
oct501614636730560
986256430126221
1022112211022192
1170558107266a5
1225915b2893754
13c45232135555
145663457db064
152852c9103be7
hex141c667bb170

22112211022192 has 80 divisors (see below), whose sum is σ = 45007549957440. Its totient is φ = 10509718173696.

The previous prime is 22112211022189. The next prime is 22112211022193. The reversal of 22112211022192 is 29122011221122.

It is a self number, because there is not a number n which added to its sum of digits gives 22112211022192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112211022193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18280693 + ... + 19452715.

It is an arithmetic number, because the mean of its divisors is an integer number (562594374468).

Almost surely, 222112211022192 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 22112211022192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22503774978720).

22112211022192 is an abundant number, since it is smaller than the sum of its proper divisors (22895338935248).

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

22112211022192 is a wasteful number, since it uses less digits than its factorization.

22112211022192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172690 (or 1172684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 22112211022192 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 464 557 584 1114 1168 2117 2228 4234 4456 8468 8912 16153 16936 32306 33872 40661 64612 81322 129224 162644 258448 325288 650576 1172023 1179169 2344046 2358338 4688092 4716676 9376184 9433352 18752368 18866704 33988667 67977334 85557679 135954668 171115358 271909336 342230716 543818672 652816811 684461432 1305633622 1368922864 2481172691 2611267244 4962345382 5222534488 9924690764 10445068976 18931687519 19849381528 37863375038 39698763056 47655627203 75726750076 95311254406 151453500152 190622508812 302907000304 381245017624 762490035248 1382013188887 2764026377774 5528052755548 11056105511096 22112211022192