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200400422200 = 235211391123291
BaseRepresentation
bin1011101010100011001…
…0111100010100111000
3201011021020202020111021
42322220302330110320
511240410002002300
6232021312312224
720323052324446
oct2725062742470
9634236666437
10200400422200
1177a978a5340
1232a09842674
1315b8927a9a4
1499b1355b96
15532d6bcd1a
hex2ea8cbc538

200400422200 has 96 divisors (see below), whose sum is σ = 508440136320. Its totient is φ = 72851120000.

The previous prime is 200400422177. The next prime is 200400422213. The reversal of 200400422200 is 2224004002.

200400422200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8592555 + ... + 8615845.

It is an arithmetic number, because the mean of its divisors is an integer number (5296251420).

Almost surely, 2200400422200 is an apocalyptic number.

200400422200 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 200400422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254220068160).

200400422200 is an abundant number, since it is smaller than the sum of its proper divisors (308039714120).

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

200400422200 is a wasteful number, since it uses less digits than its factorization.

200400422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27229 (or 27220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 200400422200 its reverse (2224004002), we get a palindrome (202624426202).

The spelling of 200400422200 in words is "two hundred billion, four hundred million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3911 7822 15644 19555 23291 31288 39110 43021 46582 78220 86042 93164 97775 116455 156440 172084 186328 195550 215105 232910 256201 344168 391100 430210 465820 512402 582275 782200 860420 931640 1024804 1075525 1164550 1281005 1720840 2049608 2151050 2329100 2562010 4302100 4658200 5124020 6405025 8604200 10248040 12810050 25620100 51240200 91091101 182182202 364364404 455455505 728728808 910911010 1002002111 1821822020 2004004222 2277277525 3643644040 4008008444 4554555050 5010010555 8016016888 9109110100 10020021110 18218220200 20040042220 25050052775 40080084440 50100105550 100200211100 200400422200