Search a number
-
+
202455414 = 232717472011
BaseRepresentation
bin11000001000100…
…11100101110110
3112002221210121200
430010103211312
5403312033124
632031153330
75005562010
oct1404234566
9462853550
10202455414
11a430a827
1257975846
1332c36b05
141cc611b0
1512b91bc9
hexc113976

202455414 has 96 divisors (see below), whose sum is σ = 542370816. Its totient is φ = 53256960.

The previous prime is 202455403. The next prime is 202455437. The reversal of 202455414 is 414554202.

202455414 is a `hidden beast` number, since 2 + 0 + 245 + 5 + 414 = 666.

It is a super-2 number, since 2×2024554142 = 81976389315822792, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 99669 + ... + 101679.

It is an arithmetic number, because the mean of its divisors is an integer number (5649696).

Almost surely, 2202455414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202455414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271185408).

202455414 is an abundant number, since it is smaller than the sum of its proper divisors (339915402).

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

202455414 is a wasteful number, since it uses less digits than its factorization.

202455414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 202455414 is about 14228.6827921632. The cubic root of 202455414 is about 587.1870446690.

The spelling of 202455414 in words is "two hundred two million, four hundred fifty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 47 51 63 94 102 119 126 141 153 238 282 306 329 357 423 658 714 799 846 987 1071 1598 1974 2011 2142 2397 2961 4022 4794 5593 5922 6033 7191 11186 12066 14077 14382 16779 18099 28154 33558 34187 36198 42231 50337 68374 84462 94517 100674 102561 126693 189034 205122 239309 253386 283551 307683 478618 567102 615366 661619 717927 850653 1323238 1435854 1606789 1701306 1984857 2153781 3213578 3969714 4307562 4820367 5954571 9640734 11247523 11909142 14461101 22495046 28922202 33742569 67485138 101227707 202455414