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191166020 = 225172412333
BaseRepresentation
bin10110110010011…
…11011001000100
3111022201020110222
423121033121010
5342414303040
630545203512
74510612223
oct1331173104
9438636428
10191166020
11989a9951
1254030598
13307b33b6
141b562cba
1511bb1bb5
hexb64f644

191166020 has 48 divisors (see below), whose sum is σ = 427009968. Its totient is φ = 71639040.

The previous prime is 191165981. The next prime is 191166023. The reversal of 191166020 is 20661191.

191166020 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 8 ways, for example, as 3147076 + 188018944 = 1774^2 + 13712^2 .

It is not an unprimeable number, because it can be changed into a prime (191166023) 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, 80774 + ... + 83106.

It is an arithmetic number, because the mean of its divisors is an integer number (8896041).

Almost surely, 2191166020 is an apocalyptic number.

191166020 is a gapful number since it is divisible by the number (10) 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 191166020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213504984).

191166020 is an abundant number, since it is smaller than the sum of its proper divisors (235843948).

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

191166020 is a wasteful number, since it uses less digits than its factorization.

191166020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 191166020 is about 13826.2800492396. The cubic root of 191166020 is about 576.0633329602.

The spelling of 191166020 in words is "one hundred ninety-one million, one hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 964 1205 2333 2410 4097 4666 4820 8194 9332 11665 16388 20485 23330 39661 40970 46660 79322 81940 158644 198305 396610 562253 793220 1124506 2249012 2811265 5622530 9558301 11245060 19116602 38233204 47791505 95583010 191166020