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2243100200 = 2352117313967
BaseRepresentation
bin1000010110110010…
…1111111000101000
312210022210022000012
42011230233320220
514043213201300
61010325231052
7106405015505
oct20554577050
95708708005
102243100200
11a51198420
12527262488
13299942333
14173c9a4ac
15d1dd2435
hex85b2fe28

2243100200 has 96 divisors (see below), whose sum is σ = 5767666560. Its totient is φ = 804441600.

The previous prime is 2243100191. The next prime is 2243100259. The reversal of 2243100200 is 20013422.

2243100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153617 + ... + 167583.

It is an arithmetic number, because the mean of its divisors is an integer number (60079860).

Almost surely, 22243100200 is an apocalyptic number.

2243100200 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 2243100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883833280).

2243100200 is an abundant number, since it is smaller than the sum of its proper divisors (3524566360).

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

2243100200 is a wasteful number, since it uses less digits than its factorization.

2243100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14067 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2243100200 is about 47361.3787806056. The cubic root of 2243100200 is about 1309.0298743698.

Adding to 2243100200 its reverse (20013422), we get a palindrome (2263113622).

The spelling of 2243100200 in words is "two billion, two hundred forty-three million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 146 200 220 275 292 365 440 550 584 730 803 1100 1460 1606 1825 2200 2920 3212 3650 4015 6424 7300 8030 13967 14600 16060 20075 27934 32120 40150 55868 69835 80300 111736 139670 153637 160600 279340 307274 349175 558680 614548 698350 768185 1019591 1229096 1396700 1536370 2039182 2793400 3072740 3840925 4078364 5097955 6145480 7681850 8156728 10195910 11215501 15363700 20391820 22431002 25489775 30727400 40783640 44862004 50979550 56077505 89724008 101959100 112155010 203918200 224310020 280387525 448620040 560775050 1121550100 2243100200