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200442440 = 23511412271
BaseRepresentation
bin10111111001010…
…00001001001000
3111222011112100002
423330220021020
5402303124230
631520102132
74652506202
oct1374501110
9458145302
10200442440
11a3165410
1257164948
13326b07c3
141c899772
15128e5545
hexbf28248

200442440 has 96 divisors (see below), whose sum is σ = 506148480. Its totient is φ = 70848000.

The previous prime is 200442439. The next prime is 200442509. The reversal of 200442440 is 44244002.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 739505 + ... + 739775.

It is an arithmetic number, because the mean of its divisors is an integer number (5272380).

Almost surely, 2200442440 is an apocalyptic number.

200442440 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 200442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253074240).

200442440 is an abundant number, since it is smaller than the sum of its proper divisors (305706040).

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

200442440 is a wasteful number, since it uses less digits than its factorization.

200442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 200442440 is about 14157.7695983513. The cubic root of 200442440 is about 585.2344641768.

Adding to 200442440 its reverse (44244002), we get a palindrome (244686442).

It can be divided in two parts, 2004 and 42440, that added together give a palindrome (44444).

The spelling of 200442440 in words is "two hundred million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 271 328 410 440 451 542 820 902 1084 1355 1640 1681 1804 2168 2255 2710 2981 3362 3608 4510 5420 5962 6724 8405 9020 10840 11111 11924 13448 14905 16810 18040 18491 22222 23848 29810 33620 36982 44444 55555 59620 67240 73964 88888 92455 111110 119240 122221 147928 184910 222220 244442 369820 444440 455551 488884 611105 739640 911102 977768 1222210 1822204 2277755 2444420 3644408 4555510 4888840 5011061 9111020 10022122 18222040 20044244 25055305 40088488 50110610 100221220 200442440