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131706224 = 24133311913
BaseRepresentation
bin1111101100110…
…10110101110000
3100011211100222022
413312122311300
5232204044344
621022531012
73156325106
oct766326560
9304740868
10131706224
1168387921
1238136a68
13213952a0
14136c5c76
15b8690ee
hex7d9ad70

131706224 has 40 divisors (see below), whose sum is σ = 275784432. Its totient is φ = 60572160.

The previous prime is 131706217. The next prime is 131706241. The reversal of 131706224 is 422607131.

131706224 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-3 number, since 3×1317062243 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 131706193 and 131706202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67892 + ... + 69804.

Almost surely, 2131706224 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 131706224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137892216).

131706224 is an abundant number, since it is smaller than the sum of its proper divisors (144078208).

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

131706224 is a wasteful number, since it uses less digits than its factorization.

131706224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 131706224 is about 11476.3332123113. Note that the first 3 decimals coincide. The cubic root of 131706224 is about 508.7863284633.

The spelling of 131706224 in words is "one hundred thirty-one million, seven hundred six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 331 662 1324 1913 2648 3826 4303 5296 7652 8606 15304 17212 24869 30608 34424 49738 68848 99476 198952 397904 633203 1266406 2532812 5065624 8231639 10131248 16463278 32926556 65853112 131706224