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202327040 = 210543919
BaseRepresentation
bin11000000111101…
…00010000000000
3112002201021112002
430003310100000
5403243431130
632024323132
75004515516
oct1403642000
9462637462
10202327040
11a4232333
12579134a8
1332bc0556
141cc2a4b6
1512b68b45
hexc0f4400

202327040 has 88 divisors (see below), whose sum is σ = 497175360. Its totient is φ = 78962688.

The previous prime is 202327039. The next prime is 202327043. The reversal of 202327040 is 40723202.

It is a happy number.

202327040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2023270402 = 81872462230323200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (202327043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219701 + ... + 220619.

It is an arithmetic number, because the mean of its divisors is an integer number (5649720).

Almost surely, 2202327040 is an apocalyptic number.

202327040 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 202327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248587680).

202327040 is an abundant number, since it is smaller than the sum of its proper divisors (294848320).

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

202327040 is an equidigital number, since it uses as much as digits as its factorization.

202327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 202327040 is about 14224.1709776001. The cubic root of 202327040 is about 587.0629095386.

It can be divided in two parts, 20232 and 7040, that added together give a palindrome (27272).

The spelling of 202327040 in words is "two hundred two million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 919 1024 1280 1376 1720 1838 2560 2752 3440 3676 4595 5120 5504 6880 7352 9190 11008 13760 14704 18380 22016 27520 29408 36760 39517 44032 55040 58816 73520 79034 110080 117632 147040 158068 197585 220160 235264 294080 316136 395170 470528 588160 632272 790340 941056 1176320 1264544 1580680 2352640 2529088 3161360 4705280 5058176 6322720 10116352 12645440 20232704 25290880 40465408 50581760 101163520 202327040