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207144564 = 2231129531021
BaseRepresentation
bin11000101100011…
…00011001110100
3112102210000220220
430112030121310
5411012111224
632315454340
75063462004
oct1426143164
9472700826
10207144564
11a6a22860
12594573b0
1333bb9263
141d722004
15132bb279
hexc58c674

207144564 has 96 divisors (see below), whose sum is σ = 556295040. Its totient is φ = 59404800.

The previous prime is 207144551. The next prime is 207144569. The reversal of 207144564 is 465441702.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207144569) 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 31 ways as a sum of consecutive naturals, for example, 202374 + ... + 203394.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2207144564 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 207144564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147520).

207144564 is an abundant number, since it is smaller than the sum of its proper divisors (349150476).

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

207144564 is a wasteful number, since it uses less digits than its factorization.

207144564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 207144564 is about 14392.5176393847. The cubic root of 207144564 is about 591.6858457668.

The spelling of 207144564 in words is "two hundred seven million, one hundred forty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 53 58 66 87 106 116 132 159 174 212 318 319 348 583 636 638 957 1021 1166 1276 1537 1749 1914 2042 2332 3063 3074 3498 3828 4084 4611 6126 6148 6996 9222 11231 12252 16907 18444 22462 29609 33693 33814 44924 50721 54113 59218 67386 67628 88827 101442 108226 118436 134772 162339 177654 202884 216452 324678 325699 355308 595243 649356 651398 977097 1190486 1302796 1569277 1785729 1954194 2380972 3138554 3571458 3908388 4707831 6277108 7142916 9415662 17262047 18831324 34524094 51786141 69048188 103572282 207144564