Search a number
-
+
214141632 = 2631115321
BaseRepresentation
bin11001100001110…
…00101011000000
3112220221112002120
430300320223000
5414310013012
633125444240
75210113425
oct1460705300
9486845076
10214141632
11aa971861
125b870680
1335499033
1420623d4c
1513bee58c
hexcc38ac0

214141632 has 28 divisors (see below), whose sum is σ = 566583576. Its totient is φ = 71380480.

The previous prime is 214141601. The next prime is 214141637. The reversal of 214141632 is 236141412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (214141637) 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 3 ways as a sum of consecutive naturals, for example, 557469 + ... + 557852.

Almost surely, 2214141632 is an apocalyptic number.

It is an amenable number.

214141632 is an abundant number, since it is smaller than the sum of its proper divisors (352441944).

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

214141632 is a wasteful number, since it uses less digits than its factorization.

214141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115336 (or 1115326 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 214141632 is about 14633.5789197312. The cubic root of 214141632 is about 598.2743304213.

The spelling of 214141632 in words is "two hundred fourteen million, one hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1115321 2230642 3345963 4461284 6691926 8922568 13383852 17845136 26767704 35690272 53535408 71380544 107070816 214141632