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200440420 = 225311512141
BaseRepresentation
bin10111111001001…
…11101001100100
3111222011102120021
423330213221210
5402303043140
631520044524
74652500255
oct1374475144
9458142507
10200440420
11a3163944
1257163744
13326ac8cb
141c898b2c
15128e4b4a
hexbf27a64

200440420 has 48 divisors (see below), whose sum is σ = 437584896. Its totient is φ = 77040000.

The previous prime is 200440411. The next prime is 200440447. The reversal of 200440420 is 24044002.

It is a junction number, because it is equal to n+sod(n) for n = 200440394 and 200440403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92550 + ... + 94690.

It is an arithmetic number, because the mean of its divisors is an integer number (9116352).

Almost surely, 2200440420 is an apocalyptic number.

200440420 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 200440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218792448).

200440420 is an abundant number, since it is smaller than the sum of its proper divisors (237144476).

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

200440420 is a wasteful number, since it uses less digits than its factorization.

200440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2330 counting only the distinct ones).

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

The square root of 200440420 is about 14157.6982592510. The cubic root of 200440420 is about 585.2324982299.

Adding to 200440420 its reverse (24044002), we get a palindrome (224484422).

It can be divided in two parts, 2004 and 40420, that added together give a palindrome (42424).

The spelling of 200440420 in words is "two hundred million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 151 155 302 310 604 620 755 1510 2141 3020 4282 4681 8564 9362 10705 18724 21410 23405 42820 46810 66371 93620 132742 265484 323291 331855 646582 663710 1293164 1327420 1616455 3232910 6465820 10022021 20044042 40088084 50110105 100220210 200440420