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20223565024 = 2513177140277
BaseRepresentation
bin10010110101011010…
…110001110011100000
31221012102012112210211
4102311122301303200
5312404213040044
613142433103504
71314105315655
oct226532616340
957172175724
1020223565024
118638747803
123b049b7b94
131ba3ac2c30
14d9bc7dc2c
157d56cc634
hex4b56b1ce0

20223565024 has 96 divisors (see below), whose sum is σ = 46040654016. Its totient is φ = 8660951040.

The previous prime is 20223564989. The next prime is 20223565027. The reversal of 20223565024 is 42056532202.

It is a super-2 number, since 2×202235650242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223565027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 481974 + ... + 522250.

It is an arithmetic number, because the mean of its divisors is an integer number (479590146).

Almost surely, 220223565024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20223565024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23020327008).

20223565024 is an abundant number, since it is smaller than the sum of its proper divisors (25817088992).

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

20223565024 is a wasteful number, since it uses less digits than its factorization.

20223565024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40388 (or 40380 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 20223565024 in words is "twenty billion, two hundred twenty-three million, five hundred sixty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 71 104 136 142 208 221 272 284 416 442 544 568 884 923 1136 1207 1768 1846 2272 2414 3536 3692 4828 7072 7384 9656 14768 15691 19312 29536 31382 38624 40277 62764 80554 125528 161108 251056 322216 502112 523601 644432 684709 1047202 1288864 1369418 2094404 2738836 2859667 4188808 5477672 5719334 8377616 8901217 10955344 11438668 16755232 17802434 21910688 22877336 35604868 37175671 45754672 48614339 71209736 74351342 91509344 97228678 142419472 148702684 194457356 284838944 297405368 388914712 594810736 631986407 777829424 1189621472 1263972814 1555658848 2527945628 5055891256 10111782512 20223565024