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22103213220 = 223251112139203
BaseRepresentation
bin10100100101011101…
…000100010010100100
32010001102002120101200
4110211131010102210
5330231410310340
614053140322500
71411511132604
oct244535042244
963042076350
1022103213220
119412762270
12434a3a3430
13211334c1ba
1410d976ac04
1589571a330
hex5257444a4

22103213220 has 144 divisors (see below), whose sum is σ = 73209794112. Its totient is φ = 5353355520.

The previous prime is 22103213191. The next prime is 22103213263. The reversal of 22103213220 is 2231230122.

22103213220 is a `hidden beast` number, since 2 + 21 + 0 + 321 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22103213193 and 22103213202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2397139 + ... + 2406341.

It is an arithmetic number, because the mean of its divisors is an integer number (508401348).

Almost surely, 222103213220 is an apocalyptic number.

22103213220 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 22103213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604897056).

22103213220 is an abundant number, since it is smaller than the sum of its proper divisors (51106580892).

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

22103213220 is a wasteful number, since it uses less digits than its factorization.

22103213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22103213220 its reverse (2231230122), we get a palindrome (24334443342).

The spelling of 22103213220 in words is "twenty-two billion, one hundred three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1213 1980 2426 3639 4852 6065 7278 9203 10917 12130 13343 14556 18195 18406 21834 24260 26686 27609 36390 36812 40029 43668 46015 53372 54585 55218 66715 72780 80058 82827 92030 101233 109170 110436 120087 133430 138045 160116 165654 184060 200145 202466 218340 240174 266860 276090 303699 331308 400290 404932 414135 480348 506165 552180 600435 607398 800580 828270 911097 1012330 1200870 1214796 1518495 1656540 1822194 2024660 2401740 3036990 3644388 4555485 6073980 9110970 11163239 18221940 22326478 33489717 44652956 55816195 66979434 100469151 111632390 122795629 133958868 167448585 200938302 223264780 245591258 334897170 368386887 401876604 491182516 502345755 613978145 669794340 736773774 1004691510 1105160661 1227956290 1473547548 1841934435 2009383020 2210321322 2455912580 3683868870 4420642644 5525803305 7367737740 11051606610 22103213220