Search a number
-
+
83185144 = 2372212207
BaseRepresentation
bin1001111010101…
…00110111111000
312210112020120021
410331110313320
5132243411034
612130540224
72030030200
oct475246770
9183466507
1083185144
1142a57259
1223a37674
13143070a3
14b095400
1574826b4
hex4f54df8

83185144 has 24 divisors (see below), whose sum is σ = 181437840. Its totient is φ = 35650608.

The previous prime is 83185133. The next prime is 83185153. The reversal of 83185144 is 44158138.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105712 + ... + 106495.

It is an arithmetic number, because the mean of its divisors is an integer number (7559910).

Almost surely, 283185144 is an apocalyptic number.

It is an amenable number.

83185144 is an abundant number, since it is smaller than the sum of its proper divisors (98252696).

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

83185144 is a wasteful number, since it uses less digits than its factorization.

83185144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212227 (or 212216 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 83185144 is about 9120.5890160669. The cubic root of 83185144 is about 436.5311681318.

The spelling of 83185144 in words is "eighty-three million, one hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 212207 424414 848828 1485449 1697656 2970898 5941796 10398143 11883592 20796286 41592572 83185144