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22022322030 = 2325537958441
BaseRepresentation
bin10100100000101000…
…011111011101101110
32002211202212212112200
4110200220133131232
5330100203301110
614041130442330
71406506435332
oct244050373556
962752785480
1022022322030
119381032545
1243272933a6
1320cc6692a7
1410ccb117c2
1588d58c6c0
hex520a1f76e

22022322030 has 96 divisors (see below), whose sum is σ = 59077848960. Its totient is φ = 5688783360.

The previous prime is 22022322011. The next prime is 22022322067. The reversal of 22022322030 is 3022322022.

22022322030 is a `hidden beast` number, since 220 + 223 + 220 + 3 + 0 = 666.

It is a super-3 number, since 3×220223220303 (a number of 32 digits) contains 333 as substring.

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 = 22022321994 and 22022322012.

It is a congruent number.

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, 347610 + ... + 406050.

It is an arithmetic number, because the mean of its divisors is an integer number (615394260).

Almost surely, 222022322030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538924480).

22022322030 is an abundant number, since it is smaller than the sum of its proper divisors (37055526930).

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

22022322030 is a wasteful number, since it uses less digits than its factorization.

22022322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58586 (or 58583 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22022322030 its reverse (3022322022), we get a palindrome (25044644052).

It can be divided in two parts, 2202 and 2322030, that added together give a palindrome (2324232).

The spelling of 22022322030 in words is "twenty-two billion, twenty-two million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 79 90 106 158 159 237 265 318 395 474 477 530 711 790 795 954 1185 1422 1590 2370 2385 3555 4187 4770 7110 8374 12561 20935 25122 37683 41870 58441 62805 75366 116882 125610 175323 188415 292205 350646 376830 525969 584410 876615 1051938 1753230 2629845 3097373 4616839 5259690 6194746 9233678 9292119 13850517 15486865 18584238 23084195 27701034 27876357 30973730 41551551 46168390 46460595 55752714 69252585 83103102 92921190 138505170 139381785 207757755 244692467 278763570 415515510 489384934 734077401 1223462335 1468154802 2202232203 2446924670 3670387005 4404464406 7340774010 11011161015 22022322030