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22230020320 = 2553710336457
BaseRepresentation
bin10100101101000000…
…110011000011100000
32010101020201001000221
4110231000303003200
5331011341122240
614113510252424
71414611024604
oct245500630340
963336631027
1022230020320
1194782a3322
124384957114
1321336ba5a1
14110c539504
158a1917a4a
hex52d0330e0

22230020320 has 96 divisors (see below), whose sum is σ = 54463002048. Its totient is φ = 8567451648.

The previous prime is 22230020317. The next prime is 22230020321. The reversal of 22230020320 is 2302003222.

It is a super-2 number, since 2×222300203202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22230020294 and 22230020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230020321) 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 15 ways as a sum of consecutive naturals, for example, 591532 + ... + 627988.

It is an arithmetic number, because the mean of its divisors is an integer number (567322938).

Almost surely, 222230020320 is an apocalyptic number.

22230020320 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 22230020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231501024).

22230020320 is an abundant number, since it is smaller than the sum of its proper divisors (32232981728).

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

22230020320 is a wasteful number, since it uses less digits than its factorization.

22230020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36612 (or 36604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 22230020320 its reverse (2302003222), we get a palindrome (24532023542).

The spelling of 22230020320 in words is "twenty-two billion, two hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 103 148 160 185 206 296 370 412 515 592 740 824 1030 1184 1480 1648 2060 2960 3296 3811 4120 5920 7622 8240 15244 16480 19055 30488 36457 38110 60976 72914 76220 121952 145828 152440 182285 291656 304880 364570 583312 609760 729140 1166624 1348909 1458280 2697818 2916560 3755071 5395636 5833120 6744545 7510142 10791272 13489090 15020284 18775355 21582544 26978180 30040568 37550710 43165088 53956360 60081136 75101420 107912720 120162272 138937627 150202840 215825440 277875254 300405680 555750508 600811360 694688135 1111501016 1389376270 2223002032 2778752540 4446004064 5557505080 11115010160 22230020320