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206155416 = 23337435399
BaseRepresentation
bin11000100100110…
…10111010011000
3112100220210001210
430102122322120
5410233433131
632242343120
75052202125
oct1422327230
9470823053
10206155416
11a6407685
125905aaa0
1333930c6c
141d54574c
1513173146
hexc49ae98

206155416 has 64 divisors (see below), whose sum is σ = 541728000. Its totient is φ = 65294208.

The previous prime is 206155393. The next prime is 206155423. The reversal of 206155416 is 614551602.

It is a super-2 number, since 2×2061554162 = 85000111092266112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35485 + ... + 40883.

It is an arithmetic number, because the mean of its divisors is an integer number (8464500).

Almost surely, 2206155416 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 206155416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270864000).

206155416 is an abundant number, since it is smaller than the sum of its proper divisors (335572584).

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

206155416 is a wasteful number, since it uses less digits than its factorization.

206155416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 206155416 is about 14358.1132465237. The cubic root of 206155416 is about 590.7425449205.

The spelling of 206155416 in words is "two hundred six million, one hundred fifty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 222 258 296 344 444 516 888 1032 1591 3182 4773 5399 6364 9546 10798 12728 16197 19092 21596 32394 38184 43192 64788 129576 199763 232157 399526 464314 599289 696471 799052 928628 1198578 1392942 1598104 1857256 2397156 2785884 4794312 5571768 8589809 17179618 25769427 34359236 51538854 68718472 103077708 206155416