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22200132420 = 22325676532819
BaseRepresentation
bin10100101011001110…
…110010001101000100
32010022011110120112200
4110223032302031010
5330431213214140
614110521514500
71414066004064
oct245316621504
963264416480
1022200132420
11946243a084
124376942a30
13212a45463b
1411085993a4
1589deb2030
hex52b3b2344

22200132420 has 144 divisors (see below), whose sum is σ = 68474427840. Its totient is φ = 5820680448.

The previous prime is 22200132379. The next prime is 22200132433. The reversal of 22200132420 is 2423100222.

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 = 22200132393 and 22200132402.

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, 7873771 + ... + 7876589.

It is an arithmetic number, because the mean of its divisors is an integer number (475516860).

Almost surely, 222200132420 is an apocalyptic number.

22200132420 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 22200132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34237213920).

22200132420 is an abundant number, since it is smaller than the sum of its proper divisors (46274295420).

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

22200132420 is a wasteful number, since it uses less digits than its factorization.

22200132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22200132420 its reverse (2423100222), we get a palindrome (24623232642).

The spelling of 22200132420 in words is "twenty-two billion, two hundred million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 653 670 804 1005 1206 1306 1340 1959 2010 2412 2612 2819 3015 3265 3918 4020 5638 5877 6030 6530 7836 8457 9795 11276 11754 12060 13060 14095 16914 19590 23508 25371 28190 29385 33828 39180 42285 43751 50742 56380 58770 84570 87502 101484 117540 126855 131253 169140 175004 188873 218755 253710 262506 377746 393759 437510 507420 525012 566619 656265 755492 787518 875020 944365 1133238 1312530 1575036 1699857 1840807 1888730 1968795 2266476 2625060 2833095 3399714 3681614 3777460 3937590 5522421 5666190 6799428 7363228 7875180 8499285 9204035 11044842 11332380 16567263 16998570 18408070 22089684 27612105 33134526 33997140 36816140 55224210 66269052 82836315 110448420 123334069 165672630 246668138 331345260 370002207 493336276 616670345 740004414 1110006621 1233340690 1480008828 1850011035 2220013242 2466681380 3700022070 4440026484 5550033105 7400044140 11100066210 22200132420