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22230302220 = 223257108716231
BaseRepresentation
bin10100101101000001…
…110111111000001100
32010101021020100201200
4110231001313320030
5331011424132340
614113520305500
71414613310510
oct245501677014
963337210650
1022230302220
1194784760a5
124384a72290
1321337889a9
14110c5b0140
158a1971330
hex52d077e0c

22230302220 has 144 divisors (see below), whose sum is σ = 77140697088. Its totient is φ = 5076224640.

The previous prime is 22230302207. The next prime is 22230302257. The reversal of 22230302220 is 2220303222.

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 = 22230302193 and 22230302202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361505 + ... + 1377735.

Almost surely, 222230302220 is an apocalyptic number.

22230302220 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 22230302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38570348544).

22230302220 is an abundant number, since it is smaller than the sum of its proper divisors (54910394868).

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

22230302220 is a wasteful number, since it uses less digits than its factorization.

22230302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17340 (or 17335 counting only the distinct ones).

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

Adding to 22230302220 its reverse (2220303222), we get a palindrome (24450605442).

The spelling of 22230302220 in words is "twenty-two billion, two hundred thirty million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1087 1260 2174 3261 4348 5435 6522 7609 9783 10870 13044 15218 16231 16305 19566 21740 22827 30436 32462 32610 38045 39132 45654 48693 48915 64924 65220 68481 76090 81155 91308 97386 97830 113617 114135 136962 146079 152180 162310 194772 195660 227234 228270 243465 273924 292158 324620 340851 342405 454468 456540 486930 568085 584316 681702 684810 730395 973860 1022553 1136170 1363404 1369620 1460790 1704255 2045106 2272340 2921580 3408510 4090212 5112765 6817020 10225530 17643097 20451060 35286194 52929291 70572388 88215485 105858582 123501679 158787873 176430970 211717164 247003358 264646455 317575746 352861940 370505037 494006716 529292910 617508395 635151492 741010074 793939365 1058585820 1111515111 1235016790 1482020148 1587878730 1852525185 2223030222 2470033580 3175757460 3705050370 4446060444 5557575555 7410100740 11115151110 22230302220