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22034314300 = 22524111634621
BaseRepresentation
bin10100100001010110…
…001111010000111100
32002212121110010211211
4110201112033100330
5330111241024200
614042235454204
71410013403245
oct244126172074
962777403754
1022034314300
119387883509
12432b2b7364
132101ca78cb
1410d0553ccc
1588e65aaba
hex52158f43c

22034314300 has 72 divisors (see below), whose sum is σ = 49033392912. Its totient is φ = 8589504000.

The previous prime is 22034314273. The next prime is 22034314303. The reversal of 22034314300 is 341343022.

It is a happy number.

It is a super-2 number, since 2×220343143002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034314303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4765990 + ... + 4770610.

It is an arithmetic number, because the mean of its divisors is an integer number (681019346).

Almost surely, 222034314300 is an apocalyptic number.

22034314300 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 22034314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24516696456).

22034314300 is an abundant number, since it is smaller than the sum of its proper divisors (26999078612).

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

22034314300 is a wasteful number, since it uses less digits than its factorization.

22034314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22034314300 its reverse (341343022), we get a palindrome (22375657322).

The spelling of 22034314300 in words is "twenty-two billion, thirty-four million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1163 2050 2326 4100 4621 4652 5815 9242 11630 18484 23105 23260 29075 46210 47683 58150 92420 95366 115525 116300 189461 190732 231050 238415 378922 462100 476830 757844 947305 953660 1192075 1894610 2384150 3789220 4736525 4768300 5374223 9473050 10748446 18946100 21496892 26871115 53742230 107484460 134355575 220343143 268711150 440686286 537422300 881372572 1101715715 2203431430 4406862860 5508578575 11017157150 22034314300