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200262980 = 22529449769
BaseRepresentation
bin10111110111111…
…00010101000100
3111221211102011102
423323330111010
5402231403410
631512155232
74651131041
oct1373742504
9457742142
10200262980
11a30525a5
1257098b18
1332649c08
141c8501c8
15128ac2a5
hexbefc544

200262980 has 48 divisors (see below), whose sum is σ = 436590000. Its totient is φ = 77070336.

The previous prime is 200262977. The next prime is 200262989. The reversal of 200262980 is 89262002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 662596 + 199600384 = 814^2 + 14128^2 .

It is a super-2 number, since 2×2002629802 = 80210522316960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (200262989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260036 + ... + 260804.

It is an arithmetic number, because the mean of its divisors is an integer number (9095625).

Almost surely, 2200262980 is an apocalyptic number.

200262980 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 200262980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218295000).

200262980 is an abundant number, since it is smaller than the sum of its proper divisors (236327020).

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

200262980 is a wasteful number, since it uses less digits than its factorization.

200262980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 200262980 is about 14151.4303164026. The cubic root of 200262980 is about 585.0597547747.

The spelling of 200262980 in words is "two hundred million, two hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 449 580 769 898 1538 1796 2245 3076 3845 4490 7690 8980 13021 15380 22301 26042 44602 52084 65105 89204 111505 130210 223010 260420 345281 446020 690562 1381124 1726405 3452810 6905620 10013149 20026298 40052596 50065745 100131490 200262980