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202240 = 29579
BaseRepresentation
bin110001011000000000
3101021102101
4301120000
522432430
64200144
71501423
oct613000
9337371
10202240
11128a45
1299054
137108c
14539ba
153edca
hex31600

202240 has 40 divisors (see below), whose sum is σ = 491040. Its totient is φ = 79872.

The previous prime is 202231. The next prime is 202243. The reversal of 202240 is 42202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2521 + ... + 2599.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2202240 is an apocalyptic number.

202240 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 202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

202240 is an abundant number, since it is smaller than the sum of its proper divisors (288800).

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

202240 is an frugal number, since it uses more digits than its factorization.

202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 202240 is about 449.7110183218. The cubic root of 202240 is about 58.6978713699.

Adding to 202240 its reverse (42202), we get a palindrome (244442).

The spelling of 202240 in words is "two hundred two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 512 632 640 790 1264 1280 1580 2528 2560 3160 5056 6320 10112 12640 20224 25280 40448 50560 101120 202240