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22320110112 = 2533123332189
BaseRepresentation
bin10100110010011000…
…011101101000100000
32010121112020001222220
4110302120131220200
5331202422010422
614130445231040
71420053543216
oct246230355040
963545201886
1022320110112
1195141360a3
1243aab62480
132149271361
14111a4aacb6
158a97b0e5c
hex53261da20

22320110112 has 96 divisors (see below), whose sum is σ = 60741757440. Its totient is φ = 7168911360.

The previous prime is 22320110063. The next prime is 22320110117. The reversal of 22320110112 is 21101102322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223201101123 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22320110091 and 22320110100.

It is not an unprimeable number, because it can be changed into a prime (22320110117) 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, 677314 + ... + 709502.

It is an arithmetic number, because the mean of its divisors is an integer number (632726640).

Almost surely, 222320110112 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 22320110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30370878720).

22320110112 is an abundant number, since it is smaller than the sum of its proper divisors (38421647328).

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

22320110112 is a wasteful number, since it uses less digits than its factorization.

22320110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32466 (or 32458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22320110112 its reverse (21101102322), we get a palindrome (43421212434).

The spelling of 22320110112 in words is "twenty-two billion, three hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 233 248 372 466 496 699 744 932 992 1398 1488 1864 2796 2976 3728 5592 7223 7456 11184 14446 21669 22368 28892 32189 43338 57784 64378 86676 96567 115568 128756 173352 193134 231136 257512 346704 386268 515024 693408 772536 997859 1030048 1545072 1995718 2993577 3090144 3991436 5987154 7500037 7982872 11974308 15000074 15965744 22500111 23948616 30000148 31931488 45000222 47897232 60000296 90000444 95794464 120000592 180000888 232501147 240001184 360001776 465002294 697503441 720003552 930004588 1395006882 1860009176 2790013764 3720018352 5580027528 7440036704 11160055056 22320110112