Search a number
-
+
24220200200 = 2352722471449
BaseRepresentation
bin10110100011101000…
…101110110100001000
32022111221120122120212
4112203220232310020
5344100332401300
615043202540252
71515125206400
oct264350566410
968457518525
1024220200200
11a2a9742989
12483b367688
13238cb06c11
14125a999800
1596b4da935
hex5a3a2ed08

24220200200 has 72 divisors (see below), whose sum is σ = 65505782250. Its totient is φ = 8304065280.

The previous prime is 24220200197. The next prime is 24220200281. The reversal of 24220200200 is 200202242.

It can be written as a sum of positive squares in 3 ways, for example, as 14124371716 + 10095828484 = 118846^2 + 100478^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1225925 + ... + 1245524.

Almost surely, 224220200200 is an apocalyptic number.

24220200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24220200200 is an abundant number, since it is smaller than the sum of its proper divisors (41285582050).

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

24220200200 is a wasteful number, since it uses less digits than its factorization.

24220200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471479 (or 2471463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 24220200200 its reverse (200202242), we get a palindrome (24420402442).

The spelling of 24220200200 in words is "twenty-four billion, two hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 2471449 4942898 9885796 12357245 17300143 19771592 24714490 34600286 49428980 61786225 69200572 86500715 98857960 121101001 123572450 138401144 173001430 242202002 247144900 346002860 432503575 484404004 494289800 605505005 692005720 865007150 968808008 1211010010 1730014300 2422020020 3027525025 3460028600 4844040040 6055050050 12110100100 24220200200