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22132322300 = 225211199101107
BaseRepresentation
bin10100100111001100…
…000110111111111100
32010010102212110112202
4110213030012333330
5330311333303200
614100100251032
71412313430664
oct244714067774
963112773482
1022132322300
119428134360
1243580a0a78
1321193a17ca
1410dd5871a4
1589806a1d5
hex527306ffc

22132322300 has 72 divisors (see below), whose sum is σ = 52657046400. Its totient is φ = 8007595200.

The previous prime is 22132322269. The next prime is 22132322347. The reversal of 22132322300 is 322323122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168347 + ... + 269453.

Almost surely, 222132322300 is an apocalyptic number.

22132322300 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 22132322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26328523200).

22132322300 is an abundant number, since it is smaller than the sum of its proper divisors (30524724100).

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

22132322300 is a wasteful number, since it uses less digits than its factorization.

22132322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101331 (or 101324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22132322300 its reverse (322323122), we get a palindrome (22454645422).

The spelling of 22132322300 in words is "twenty-two billion, one hundred thirty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 550 796 995 1100 1990 2189 3980 4378 4975 8756 9950 10945 19900 21890 43780 54725 101107 109450 202214 218900 404428 505535 1011070 1112177 2022140 2224354 2527675 4448708 5055350 5560885 10110700 11121770 20120293 22243540 27804425 40240586 55608850 80481172 100601465 111217700 201202930 221323223 402405860 442646446 503007325 885292892 1006014650 1106616115 2012029300 2213232230 4426464460 5533080575 11066161150 22132322300