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22301100340 = 22529233316481
BaseRepresentation
bin10100110001001111…
…111100100100110100
32010120012110021111021
4110301033330210310
5331133040202330
614124525550524
71416433140151
oct246117744464
963505407437
1022301100340
119504431842
1243a4715444
13214534687c
141117b5d228
158a7ca867a
hex5313fc934

22301100340 has 48 divisors (see below), whose sum is σ = 48470924880. Its totient is φ = 8608624640.

The previous prime is 22301100307. The next prime is 22301100343. The reversal of 22301100340 is 4300110322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 787251364 + 21513848976 = 28058^2 + 146676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22301100343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344900 + ... + 1361380.

It is an arithmetic number, because the mean of its divisors is an integer number (1009810935).

Almost surely, 222301100340 is an apocalyptic number.

22301100340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22301100340 is an abundant number, since it is smaller than the sum of its proper divisors (26169824540).

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

22301100340 is a wasteful number, since it uses less digits than its factorization.

22301100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18852 (or 18850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22301100340 its reverse (4300110322), we get a palindrome (26601210662).

The spelling of 22301100340 in words is "twenty-two billion, three hundred one million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2333 4666 9332 11665 16481 23330 32962 46660 65924 67657 82405 135314 164810 270628 329620 338285 477949 676570 955898 1353140 1911796 2389745 4779490 9558980 38450173 76900346 153800692 192250865 384501730 769003460 1115055017 2230110034 4460220068 5575275085 11150550170 22301100340