Search a number
-
+
216672444 = 223237473461
BaseRepresentation
bin11001110101000…
…10100010111100
3120002201002201100
430322202202330
5420432004234
633300013100
75240454042
oct1472424274
9502632640
10216672444
1110134023a
1260691190
1335b73c61
1420ac2392
151404e399
hexcea28bc

216672444 has 72 divisors (see below), whose sum is σ = 574636608. Its totient is φ = 68757120.

The previous prime is 216672433. The next prime is 216672451. The reversal of 216672444 is 444276612.

216672444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216672399 and 216672408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60874 + ... + 64334.

It is an arithmetic number, because the mean of its divisors is an integer number (7981064).

Almost surely, 2216672444 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 216672444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287318304).

216672444 is an abundant number, since it is smaller than the sum of its proper divisors (357964164).

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

216672444 is a wasteful number, since it uses less digits than its factorization.

216672444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3550 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 216672444 is about 14719.7976888271. The cubic root of 216672444 is about 600.6219883281.

The spelling of 216672444 in words is "two hundred sixteen million, six hundred seventy-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 846 1332 1692 1739 3461 3478 5217 6922 6956 10383 10434 13844 15651 20766 20868 31149 31302 41532 62298 62604 124596 128057 162667 256114 325334 384171 488001 512228 650668 768342 976002 1152513 1464003 1536684 1952004 2305026 2928006 4610052 5856012 6018679 12037358 18056037 24074716 36112074 54168111 72224148 108336222 216672444