Search a number
-
+
216052032 = 2637160753
BaseRepresentation
bin11001110000010…
…11000101000000
3120001112120200010
430320023011000
5420302131112
633234424520
75232261210
oct1470130500
9501476603
10216052032
11100a570a9
1260432140
13359b7751
14209a0240
1513e7a63c
hexce0b140

216052032 has 56 divisors (see below), whose sum is σ = 653304256. Its totient is φ = 61728768.

The previous prime is 216052027. The next prime is 216052033. The reversal of 216052032 is 230250612.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216052033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79033 + ... + 81720.

Almost surely, 2216052032 is an apocalyptic number.

It is an amenable number.

216052032 is an abundant number, since it is smaller than the sum of its proper divisors (437252224).

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

216052032 is a wasteful number, since it uses less digits than its factorization.

216052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160775 (or 160765 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 216052032 is about 14698.7085146961. The cubic root of 216052032 is about 600.0481739098.

The spelling of 216052032 in words is "two hundred sixteen million, fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 160753 321506 482259 643012 964518 1125271 1286024 1929036 2250542 2572048 3375813 3858072 4501084 5144096 6751626 7716144 9002168 10288192 13503252 15432288 18004336 27006504 30864576 36008672 54013008 72017344 108026016 216052032