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22313020300 = 225210716712487
BaseRepresentation
bin10100110001111101…
…011010101110001100
32010121000212212121021
4110301331122232030
5331144113122200
614130033243524
71416636354214
oct246175325614
963530785537
1022313020300
11951013344a
1243a87035a4
13214795b2bc
141119583244
158a8d6041a
hex531f5ab8c

22313020300 has 72 divisors (see below), whose sum is σ = 49168353024. Its totient is φ = 8788146240.

The previous prime is 22313020283. The next prime is 22313020309. The reversal of 22313020300 is 302031322.

It is a super-3 number, since 3×223130203003 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22313020309) 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, 1780657 + ... + 1793143.

It is an arithmetic number, because the mean of its divisors is an integer number (682893792).

Almost surely, 222313020300 is an apocalyptic number.

22313020300 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 22313020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24584176512).

22313020300 is an abundant number, since it is smaller than the sum of its proper divisors (26855332724).

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

22313020300 is a wasteful number, since it uses less digits than its factorization.

22313020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12775 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 22313020300 its reverse (302031322), we get a palindrome (22615051622).

The spelling of 22313020300 in words is "twenty-two billion, three hundred thirteen million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 167 214 334 428 535 668 835 1070 1670 2140 2675 3340 4175 5350 8350 10700 12487 16700 17869 24974 35738 49948 62435 71476 89345 124870 178690 249740 312175 357380 446725 624350 893450 1248700 1336109 1786900 2085329 2672218 4170658 5344436 6680545 8341316 10426645 13361090 20853290 26722180 33402725 41706580 52133225 66805450 104266450 133610900 208532900 223130203 446260406 892520812 1115651015 2231302030 4462604060 5578255075 11156510150 22313020300