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202641340 = 225114012297
BaseRepresentation
bin11000001010000…
…00111110111100
3112010022020122211
430011000332330
5403334010330
632035150204
75010265036
oct1405007674
9463266584
10202641340
11a4427490
1257a45364
1332ca0625
141ccacc56
1512bcbd2a
hexc140fbc

202641340 has 48 divisors (see below), whose sum is σ = 465593184. Its totient is φ = 73472000.

The previous prime is 202641337. The next prime is 202641347. The reversal of 202641340 is 43146202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202641347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87072 + ... + 89368.

It is an arithmetic number, because the mean of its divisors is an integer number (9699858).

Almost surely, 2202641340 is an apocalyptic number.

202641340 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 202641340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232796592).

202641340 is an abundant number, since it is smaller than the sum of its proper divisors (262951844).

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

202641340 is a wasteful number, since it uses less digits than its factorization.

202641340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 202641340 is about 14235.2147858752. The cubic root of 202641340 is about 587.3667384484.

Adding to 202641340 its reverse (43146202), we get a palindrome (245787542).

The spelling of 202641340 in words is "two hundred two million, six hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 1604 2005 2297 4010 4411 4594 8020 8822 9188 11485 17644 22055 22970 25267 44110 45940 50534 88220 101068 126335 252670 505340 921097 1842194 3684388 4605485 9210970 10132067 18421940 20264134 40528268 50660335 101320670 202641340