[go: up one dir, main page]

Search a number
-
+
214200432 = 24324731649
BaseRepresentation
bin11001100010001…
…11000001110000
3112221001111202100
430301013001300
5414313403212
633131020400
75210450025
oct1461070160
9487044670
10214200432
11aaa01a56
125b89a700
13354b9a24
142063b54c
1513c11bdc
hexcc47070

214200432 has 60 divisors (see below), whose sum is σ = 612237600. Its totient is φ = 69878784.

The previous prime is 214200383. The next prime is 214200439. The reversal of 214200432 is 234002412.

214200432 is a `hidden beast` number, since 214 + 20 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214200439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9057 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (10203960).

Almost surely, 2214200432 is an apocalyptic number.

It is an amenable number.

214200432 is an abundant number, since it is smaller than the sum of its proper divisors (398037168).

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

214200432 is a wasteful number, since it uses less digits than its factorization.

214200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31710 (or 31701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214200432 is about 14635.5878597342. The cubic root of 214200432 is about 598.3290843879.

Adding to 214200432 its reverse (234002412), we get a palindrome (448202844).

The spelling of 214200432 in words is "two hundred fourteen million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 31649 63298 94947 126596 189894 253192 284841 379788 506384 569682 759576 1139364 1487503 1519152 2278728 2975006 4462509 4557456 5950012 8925018 11900024 13387527 17850036 23800048 26775054 35700072 53550108 71400144 107100216 214200432