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22001341300 = 2252438236217
BaseRepresentation
bin10100011111011000…
…011101001101110100
32002210022101221101121
4110133120131031310
5330024320410200
614035101033324
71406133213121
oct243730351564
962708357347
1022001341300
1193702023a4
124320255844
1320c8201663
1410ca00d748
1588b7e5e1a
hex51f61d374

22001341300 has 72 divisors (see below), whose sum is σ = 48920438336. Its totient is φ = 8584047360.

The previous prime is 22001341277. The next prime is 22001341303. The reversal of 22001341300 is 314310022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001341303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3535792 + ... + 3542008.

Almost surely, 222001341300 is an apocalyptic number.

22001341300 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 22001341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24460219168).

22001341300 is an abundant number, since it is smaller than the sum of its proper divisors (26919097036).

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

22001341300 is a wasteful number, since it uses less digits than its factorization.

22001341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7090 counting only the distinct ones).

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

Adding to 22001341300 its reverse (314310022), we get a palindrome (22315651322).

The spelling of 22001341300 in words is "twenty-two billion, one million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 823 860 1075 1646 2150 3292 4115 4300 6217 8230 12434 16460 20575 24868 31085 35389 41150 62170 70778 82300 124340 141556 155425 176945 267331 310850 353890 534662 621700 707780 884725 1069324 1336655 1769450 2673310 3538900 5116591 5346620 6683275 10233182 13366550 20466364 25582955 26733100 51165910 102331820 127914775 220013413 255829550 440026826 511659100 880053652 1100067065 2200134130 4400268260 5500335325 11000670650 22001341300