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200973636 = 2236413
BaseRepresentation
bin10111111101010…
…01110101000100
3112000011112000000
423332221311010
5402422124021
631535321300
74660150653
oct1376516504
9460145000
10200973636
11a3498516
1257380230
1332838516
141c99719a
151299cb26
hexbfa9d44

200973636 has 84 divisors (see below), whose sum is σ = 540497244. Its totient is φ = 65357280.

The previous prime is 200973631. The next prime is 200973649. The reversal of 200973636 is 636379002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

200973636 is a `hidden beast` number, since 200 + 97 + 363 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38564100 + 162409536 = 6210^2 + 12744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200973636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200973631) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4901776 + ... + 4901816.

It is an arithmetic number, because the mean of its divisors is an integer number (6434491).

Almost surely, 2200973636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200973636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270248622).

200973636 is an abundant number, since it is smaller than the sum of its proper divisors (339523608).

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

200973636 is an frugal number, since it uses more digits than its factorization.

200973636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 200973636 is about 14176.5170616763. The cubic root of 200973636 is about 585.7509881763.

The spelling of 200973636 in words is "two hundred million, nine hundred seventy-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 1681 2214 2916 3321 3362 4428 5043 6642 6724 9963 10086 13284 15129 19926 20172 29889 30258 39852 45387 59778 60516 68921 90774 119556 136161 137842 181548 206763 272322 275684 408483 413526 544644 620289 816966 827052 1225449 1240578 1633932 1860867 2450898 2481156 3721734 4901796 5582601 7443468 11165202 16747803 22330404 33495606 50243409 66991212 100486818 200973636