Search a number
-
+
22300302120 = 23351514572693
BaseRepresentation
bin10100110001001100…
…111001101100101000
32010120010221201112120
4110301030321230220
5331132334131440
614124500511240
71416423304035
oct246114715450
963503851476
1022300302120
119503a37058
1243a43ab520
132145127455
1411179d238c
158a7b9bdd0
hex531339b28

22300302120 has 128 divisors (see below), whose sum is σ = 67516381440. Its totient is φ = 5892249600.

The previous prime is 22300302107. The next prime is 22300302121. The reversal of 22300302120 is 2120300322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22300302120.

It is not an unprimeable number, because it can be changed into a prime (22300302121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8279494 + ... + 8282186.

It is an arithmetic number, because the mean of its divisors is an integer number (527471730).

Almost surely, 222300302120 is an apocalyptic number.

22300302120 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 22300302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33758190720).

22300302120 is an abundant number, since it is smaller than the sum of its proper divisors (45216079320).

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

22300302120 is a wasteful number, since it uses less digits than its factorization.

22300302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22300302120 its reverse (2120300322), we get a palindrome (24420602442).

The spelling of 22300302120 in words is "twenty-two billion, three hundred million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 457 604 755 906 914 1208 1371 1510 1812 1828 2265 2285 2693 2742 3020 3624 3656 4530 4570 5386 5484 6040 6855 8079 9060 9140 10772 10968 13465 13710 16158 18120 18280 21544 26930 27420 32316 40395 53860 54840 64632 69007 80790 107720 138014 161580 207021 276028 323160 345035 406643 414042 552056 690070 813286 828084 1035105 1219929 1230701 1380140 1626572 1656168 2033215 2070210 2439858 2461402 2760280 3253144 3692103 4066430 4140420 4879716 4922804 6099645 6153505 7384206 8132860 8280840 9759432 9845608 12199290 12307010 14768412 16265720 18460515 24398580 24614020 29536824 36921030 48797160 49228040 73842060 147684120 185835851 371671702 557507553 743343404 929179255 1115015106 1486686808 1858358510 2230030212 2787537765 3716717020 4460060424 5575075530 7433434040 11150151060 22300302120