Search a number
-
+
22300223220 = 223251111262739
BaseRepresentation
bin10100110001001100…
…100110011011110100
32010120010210201022100
4110301030212123310
5331132324120340
614124455102100
71416422525022
oct246114463364
963503721270
1022300223220
119503992850
1243a4371930
1321450ca572
1411179b1712
158a7b83830
hex5313266f4

22300223220 has 72 divisors (see below), whose sum is σ = 73793472480. Its totient is φ = 5406114240.

The previous prime is 22300223219. The next prime is 22300223299. The reversal of 22300223220 is 2232200322.

22300223220 is a `hidden beast` number, since 22 + 300 + 22 + 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 = 22300223193 and 22300223202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5629390 + ... + 5633349.

It is an arithmetic number, because the mean of its divisors is an integer number (1024909340).

Almost surely, 222300223220 is an apocalyptic number.

22300223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300223220 is an abundant number, since it is smaller than the sum of its proper divisors (51493249260).

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

22300223220 is a wasteful number, since it uses less digits than its factorization.

22300223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262765 (or 11262760 counting only the distinct ones).

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

Adding to 22300223220 its reverse (2232200322), we get a palindrome (24532423542).

The spelling of 22300223220 in words is "twenty-two billion, three hundred million, two hundred twenty-three 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 1980 11262739 22525478 33788217 45050956 56313695 67576434 101364651 112627390 123890129 135152868 168941085 202729302 225254780 247780258 337882170 371670387 405458604 495560516 506823255 619450645 675764340 743340774 1013646510 1115011161 1238901290 1486681548 1858351935 2027293020 2230022322 2477802580 3716703870 4460044644 5575055805 7433407740 11150111610 22300223220