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200344140 = 223252394657
BaseRepresentation
bin10111111000100…
…00001001001100
3111221222112111100
423330100021030
5402242003030
631514023100
74651616463
oct1374201114
9457875440
10200344140
11a30a8577
1257117a90
1332677b39
141c8719da
15128c6360
hexbf1024c

200344140 has 72 divisors (see below), whose sum is σ = 610384320. Its totient is φ = 53190144.

The previous prime is 200344129. The next prime is 200344147. The reversal of 200344140 is 41443002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200344147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40692 + ... + 45348.

It is an arithmetic number, because the mean of its divisors is an integer number (8477560).

Almost surely, 2200344140 is an apocalyptic number.

200344140 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 200344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305192160).

200344140 is an abundant number, since it is smaller than the sum of its proper divisors (410040180).

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

200344140 is a wasteful number, since it uses less digits than its factorization.

200344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200344140 is about 14154.2975805937. The cubic root of 200344140 is about 585.1387792598.

Adding to 200344140 its reverse (41443002), we get a palindrome (241787142).

It can be divided in two parts, 20034 and 4140, that multiplied together give a triangular number (82940760 = T12879).

The spelling of 200344140 in words is "two hundred million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 478 717 956 1195 1434 2151 2390 2868 3585 4302 4657 4780 7170 8604 9314 10755 13971 14340 18628 21510 23285 27942 41913 43020 46570 55884 69855 83826 93140 139710 167652 209565 279420 419130 838260 1113023 2226046 3339069 4452092 5565115 6678138 10017207 11130230 13356276 16695345 20034414 22260460 33390690 40068828 50086035 66781380 100172070 200344140