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22034241300 = 2235285785703
BaseRepresentation
bin10100100001010101…
…111101011100010100
32002212121022102201010
4110201111331130110
5330111231210200
614042234132220
71410012650361
oct244125753424
962777272633
1022034241300
119387833685
12432b281070
132101c80606
1410d0535468
1588e644150
hex52157d714

22034241300 has 72 divisors (see below), whose sum is σ = 63827539776. Its totient is φ = 5868872960.

The previous prime is 22034241269. The next prime is 22034241353. The reversal of 22034241300 is 314243022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214249 + ... + 299951.

It is an arithmetic number, because the mean of its divisors is an integer number (886493608).

Almost surely, 222034241300 is an apocalyptic number.

22034241300 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 22034241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31913769888).

22034241300 is an abundant number, since it is smaller than the sum of its proper divisors (41793298476).

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

22034241300 is a wasteful number, since it uses less digits than its factorization.

22034241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86577 (or 86570 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22034241300 its reverse (314243022), we get a palindrome (22348484322).

The spelling of 22034241300 in words is "twenty-two billion, thirty-four million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 857 1714 2571 3428 4285 5142 8570 10284 12855 17140 21425 25710 42850 51420 64275 85700 85703 128550 171406 257100 257109 342812 428515 514218 857030 1028436 1285545 1714060 2142575 2571090 4285150 5142180 6427725 8570300 12855450 25710900 73447471 146894942 220342413 293789884 367237355 440684826 734474710 881369652 1101712065 1468949420 1836186775 2203424130 3672373550 4406848260 5508560325 7344747100 11017120650 22034241300