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22102313220 = 223251323410671
BaseRepresentation
bin10100100101011001…
…101000100100000100
32010001100101211211100
4110211121220210010
5330231143010340
614053105140100
71411500363651
oct244531504404
963040354740
1022102313220
1194121a8069
12434a02a630
1321130c5660
1410d95b4c28
158955dd830
hex525668904

22102313220 has 144 divisors (see below), whose sum is σ = 75340242432. Its totient is φ = 5204010240.

The previous prime is 22102313209. The next prime is 22102313221. The reversal of 22102313220 is 2231320122.

22102313220 is a `hidden beast` number, since 2 + 210 + 231 + 3 + 220 = 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 = 22102313193 and 22102313202.

It is not an unprimeable number, because it can be changed into a prime (22102313221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151516 + ... + 259155.

It is an arithmetic number, because the mean of its divisors is an integer number (523196128).

Almost surely, 222102313220 is an apocalyptic number.

22102313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102313220 is an abundant number, since it is smaller than the sum of its proper divisors (53237929212).

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

22102313220 is a wasteful number, since it uses less digits than its factorization.

22102313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410722 (or 410717 counting only the distinct ones).

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

Adding to 22102313220 its reverse (2231320122), we get a palindrome (24333633342).

The spelling of 22102313220 in words is "twenty-two billion, one hundred two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 53820 410671 821342 1232013 1642684 2053355 2464026 3696039 4106710 4928052 5338723 6160065 7392078 8213420 9445433 10677446 12320130 14784156 16016169 18480195 18890866 21354892 24640260 26693615 28336299 32032338 36960390 37781732 47227165 48048507 53387230 56672598 64064676 73920780 80080845 85008897 94454330 96097014 106774460 113345196 122790629 141681495 160161690 170017794 188908660 192194028 240242535 245581258 283362990 320323380 340035588 368371887 425044485 480485070 491162516 566725980 613953145 736743774 850088970 960970140 1105115661 1227906290 1473487548 1700177940 1841859435 2210231322 2455812580 3683718870 4420462644 5525578305 7367437740 11051156610 22102313220