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22111453120 = 265433115167
BaseRepresentation
bin10100100101111100…
…011111111111000000
32010001222121012102011
4110211330133333000
5330241012444440
614054033102304
71411641151621
oct244574377700
963058535364
1022111453120
11941737aaa9
1243510b7994
132114c75893
1410da8b3a48
158962e69ea
hex525f1ffc0

22111453120 has 112 divisors (see below), whose sum is σ = 54061083648. Its totient is φ = 8609448960.

The previous prime is 22111453093. The next prime is 22111453123. The reversal of 22111453120 is 2135411122.

It is a junction number, because it is equal to n+sod(n) for n = 22111453091 and 22111453100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111453123) 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, 4276777 + ... + 4281943.

Almost surely, 222111453120 is an apocalyptic number.

22111453120 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 22111453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27030541824).

22111453120 is an abundant number, since it is smaller than the sum of its proper divisors (31949630528).

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

22111453120 is a wasteful number, since it uses less digits than its factorization.

22111453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 22111453120 its reverse (2135411122), we get a palindrome (24246864242).

The spelling of 22111453120 in words is "twenty-two billion, one hundred eleven million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 311 320 344 430 622 688 860 1244 1376 1555 1720 2488 2752 3110 3440 4976 5167 6220 6880 9952 10334 12440 13373 13760 19904 20668 24880 25835 26746 41336 49760 51670 53492 66865 82672 99520 103340 106984 133730 165344 206680 213968 222181 267460 330688 413360 427936 444362 534920 826720 855872 888724 1069840 1110905 1606937 1653440 1777448 2139680 2221810 3213874 3554896 4279360 4443620 6427748 7109792 8034685 8887240 12855496 14219584 16069370 17774480 25710992 32138740 35548960 51421984 64277480 69098291 71097920 102843968 128554960 138196582 257109920 276393164 345491455 514219840 552786328 690982910 1105572656 1381965820 2211145312 2763931640 4422290624 5527863280 11055726560 22111453120