Search a number
-
+
146230180 = 22529536771
BaseRepresentation
bin10001011011101…
…00101110100100
3101012011021002121
420231310232210
5244413331210
622302115324
73423636025
oct1055645644
9335137077
10146230180
11755a7998
1240b7bb44
13243ac045
14155c6c4c
15cc876da
hex8b74ba4

146230180 has 96 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 53813760.

The previous prime is 146230177. The next prime is 146230181. The reversal of 146230180 is 81032641.

146230180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146230181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059545 + ... + 2059615.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2146230180 is an apocalyptic number.

146230180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146230180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

146230180 is an abundant number, since it is smaller than the sum of its proper divisors (186893660).

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

146230180 is a wasteful number, since it uses less digits than its factorization.

146230180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 146230180 is about 12092.5671385360. The cubic root of 146230180 is about 526.8403199908.

The spelling of 146230180 in words is "one hundred forty-six million, two hundred thirty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 53 58 67 71 106 116 134 142 145 212 265 268 284 290 335 355 530 580 670 710 1060 1340 1420 1537 1943 2059 3074 3551 3763 3886 4118 4757 6148 7102 7526 7685 7772 8236 9514 9715 10295 14204 15052 15370 17755 18815 19028 19430 20590 23785 30740 35510 37630 38860 41180 47570 71020 75260 95140 102979 109127 137953 205958 218254 252121 275906 411916 436508 504242 514895 545635 551812 689765 1008484 1029790 1091270 1260605 1379530 2059580 2182540 2521210 2759060 5042420 7311509 14623018 29246036 36557545 73115090 146230180