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22222001120 = 2551153238229
BaseRepresentation
bin10100101100100010…
…001101001111100000
32010100200121121202112
4110230202031033200
5331002313013440
614113022334452
71414452615164
oct245442151740
963320547675
1022222001120
119473816390
12438212a428
132131b404b7
14110b44cca4
158a0d81965
hex52c88d3e0

22222001120 has 96 divisors (see below), whose sum is σ = 58353009120. Its totient is φ = 7928227840.

The previous prime is 22222001069. The next prime is 22222001159. The reversal of 22222001120 is 2110022222.

It is a junction number, because it is equal to n+sod(n) for n = 22222001095 and 22222001104.

It is a congruent number.

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, 25835 + ... + 212394.

It is an arithmetic number, because the mean of its divisors is an integer number (607843845).

Almost surely, 222222001120 is an apocalyptic number.

22222001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29176504560).

22222001120 is an abundant number, since it is smaller than the sum of its proper divisors (36131008000).

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

22222001120 is a wasteful number, since it uses less digits than its factorization.

22222001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238308 (or 238300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22222001120 its reverse (2110022222), we get a palindrome (24332023342).

The spelling of 22222001120 in words is "twenty-two billion, two hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1696 1760 2120 2332 2915 4240 4664 5830 8480 9328 11660 18656 23320 46640 93280 238229 476458 952916 1191145 1905832 2382290 2620519 3811664 4764580 5241038 7623328 9529160 10482076 12626137 13102595 19058320 20964152 25252274 26205190 38116640 41928304 50504548 52410380 63130685 83856608 101009096 104820760 126261370 138887507 202018192 209641520 252522740 277775014 404036384 419283040 505045480 555550028 694437535 1010090960 1111100056 1388875070 2020181920 2222200112 2777750140 4444400224 5555500280 11111000560 22222001120