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9122201120 = 255233317489
BaseRepresentation
bin10000111111011100…
…11011111000100000
3212112202000211102202
420133232123320200
5122140240413440
64105104232332
7442025300354
oct103756337040
925482024382
109122201120
11396127679a
12192700b6a8
13b24b98056
14627745464
15385cb9615
hex21fb9be20

9122201120 has 96 divisors (see below), whose sum is σ = 22559160960. Its totient is φ = 3479224320.

The previous prime is 9122201089. The next prime is 9122201177. The reversal of 9122201120 is 211022219.

It is a happy number.

It is a super-3 number, since 3×91222011203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 9122201092 and 9122201101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214336 + ... + 1221824.

It is an arithmetic number, because the mean of its divisors is an integer number (234991260).

Almost surely, 29122201120 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 9122201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279580480).

9122201120 is an abundant number, since it is smaller than the sum of its proper divisors (13436959840).

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

9122201120 is a wasteful number, since it uses less digits than its factorization.

9122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 9122201120 is about 95510.2147416704. The cubic root of 9122201120 is about 2089.4559239428.

Adding to 9122201120 its reverse (211022219), we get a palindrome (9333223339).

The spelling of 9122201120 in words is "nine billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 331 368 460 662 736 920 1324 1655 1840 2648 3310 3680 5296 6620 7489 7613 10592 13240 14978 15226 26480 29956 30452 37445 38065 52960 59912 60904 74890 76130 119824 121808 149780 152260 172247 239648 243616 299560 304520 344494 599120 609040 688988 861235 1198240 1218080 1377976 1722470 2478859 2755952 3444940 4957718 5511904 6889880 9915436 12394295 13779760 19830872 24788590 27559520 39661744 49577180 57013757 79323488 99154360 114027514 198308720 228055028 285068785 396617440 456110056 570137570 912220112 1140275140 1824440224 2280550280 4561100560 9122201120