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200574101025 = 32527324092
BaseRepresentation
bin1011101011001100100…
…1011110011000100001
3201011201100120001001100
42322303021132120201
511241233432213100
6232050435025013
720330261504634
oct2726311363041
9634640501040
10200574101025
117807693a861
1232a57a3b169
1315bb624a61c
1499ca445c1b
15533da78400
hex2eb325e621

200574101025 has 81 divisors (see below), whose sum is σ = 365131892619. Its totient is φ = 105249507840.

The previous prime is 200574101023. The next prime is 200574101041. The reversal of 200574101025 is 520101475002.

The square root of 200574101025 is 447855.

It is a perfect power (a square), and thus also a powerful number.

200574101025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 26474869521 + 174099231504 = 162711^2 + 417252^2 .

It is not a de Polignac number, because 200574101025 - 21 = 200574101023 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 200574101025.

It is not an unprimeable number, because it can be changed into a prime (200574101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 490401021 + ... + 490401429.

Almost surely, 2200574101025 is an apocalyptic number.

200574101025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200574101025 is the 447855-th square number.

200574101025 is the 223928-th centered octagonal number.

It is an amenable number.

200574101025 is a deficient number, since it is larger than the sum of its proper divisors (164557791594).

200574101025 is an frugal number, since it uses more digits than its factorization.

200574101025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 200574101025 its reverse (520101475002), we get a palindrome (720675576027).

The spelling of 200574101025 in words is "two hundred billion, five hundred seventy-four million, one hundred one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 219 225 365 409 657 1095 1227 1825 2045 3285 3681 5329 5475 6135 10225 15987 16425 18405 26645 29857 30675 47961 79935 89571 92025 133225 149285 167281 239805 268713 399675 447855 501843 746425 836405 1199025 1343565 1505529 2179561 2239275 2509215 4182025 6538683 6717825 7527645 10897805 12211513 12546075 19616049 32693415 36634539 37638225 54489025 61057565 98080245 109903617 163467075 183172695 305287825 490401225 549518085 891440449 915863475 2674321347 2747590425 4457202245 8022964041 13371606735 22286011225 40114820205 66858033675 200574101025