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22341100240 = 2453722393371
BaseRepresentation
bin10100110011101000…
…100010001011010000
32010122222201111001001
4110303220202023100
5331223310201430
614132515151344
71420430135014
oct246350421320
963588644031
1022341100240
119524a72308
1243b5ba5554
132150710354
14111d1b2544
158ab55a3ca
hex533a222d0

22341100240 has 80 divisors (see below), whose sum is σ = 53386583040. Its totient is φ = 8688453120.

The previous prime is 22341100231. The next prime is 22341100297. The reversal of 22341100240 is 4200114322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6625755 + ... + 6629125.

It is an arithmetic number, because the mean of its divisors is an integer number (667332288).

Almost surely, 222341100240 is an apocalyptic number.

22341100240 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 22341100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26693291520).

22341100240 is an abundant number, since it is smaller than the sum of its proper divisors (31045482800).

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

22341100240 is a wasteful number, since it uses less digits than its factorization.

22341100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22341100240 its reverse (4200114322), we get a palindrome (26541214562).

The spelling of 22341100240 in words is "twenty-two billion, three hundred forty-one million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2239 2960 3371 4478 6742 8956 11195 13484 16855 17912 22390 26968 33710 35824 44780 53936 67420 82843 89560 124727 134840 165686 179120 249454 269680 331372 414215 498908 623635 662744 828430 997816 1247270 1325488 1656860 1995632 2494540 3313720 4989080 6627440 7547669 9978160 15095338 30190676 37738345 60381352 75476690 120762704 150953380 279263753 301906760 558527506 603813520 1117055012 1396318765 2234110024 2792637530 4468220048 5585275060 11170550120 22341100240