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22303240400 = 2452737921017
BaseRepresentation
bin10100110001011000…
…000111000011010000
32010120100111000002202
4110301120013003100
5331134112143100
614125043502332
71416460262330
oct246130070320
963510430082
1022303240400
119505663691
1243a53879a8
13214591598c
1411181590c0
158a807c7d5
hex5316070d0

22303240400 has 120 divisors (see below), whose sum is σ = 61402825920. Its totient is φ = 7626286080.

The previous prime is 22303240381. The next prime is 22303240409. The reversal of 22303240400 is 404230322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22303240409) 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 23 ways as a sum of consecutive naturals, for example, 1050692 + ... + 1071708.

It is an arithmetic number, because the mean of its divisors is an integer number (511690216).

Almost surely, 222303240400 is an apocalyptic number.

22303240400 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 22303240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30701412960).

22303240400 is an abundant number, since it is smaller than the sum of its proper divisors (39099585520).

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

22303240400 is a wasteful number, since it uses less digits than its factorization.

22303240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21421 (or 21410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22303240400 its reverse (404230322), we get a palindrome (22707470722).

The spelling of 22303240400 in words is "twenty-two billion, three hundred three million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 379 400 560 700 758 1400 1516 1895 2653 2800 3032 3790 5306 6064 7580 9475 10612 13265 15160 18950 21017 21224 26530 30320 37900 42034 42448 53060 66325 75800 84068 105085 106120 132650 147119 151600 168136 210170 212240 265300 294238 336272 420340 525425 530600 588476 735595 840680 1050850 1061200 1176952 1471190 1681360 2101700 2353904 2942380 3677975 4203400 5884760 7355950 7965443 8406800 11769520 14711900 15930886 29423800 31861772 39827215 55758101 58847600 63723544 79654430 111516202 127447088 159308860 199136075 223032404 278790505 318617720 398272150 446064808 557581010 637235440 796544300 892129616 1115162020 1393952525 1593088600 2230324040 2787905050 3186177200 4460648080 5575810100 11151620200 22303240400