Search a number
-
+
192338240 = 265678971
BaseRepresentation
bin10110111011011…
…01100101000000
3111101220210110112
423131231211000
5343214310430
631030250452
74523563613
oct1335554500
9441823415
10192338240
119962a626
12544b6a28
1330b03b13
141b78a17a
1511d44195
hexb76d940

192338240 has 56 divisors (see below), whose sum is σ = 464893152. Its totient is φ = 75778560.

The previous prime is 192338231. The next prime is 192338299. The reversal of 192338240 is 42833291.

It is a happy number.

192338240 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 192338197 and 192338206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16955 + ... + 25925.

Almost surely, 2192338240 is an apocalyptic number.

192338240 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 192338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232446576).

192338240 is an abundant number, since it is smaller than the sum of its proper divisors (272554912).

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

192338240 is an equidigital number, since it uses as much as digits as its factorization.

192338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 192338240 is about 13868.6062746045. The cubic root of 192338240 is about 577.2383977842.

The spelling of 192338240 in words is "one hundred ninety-two million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2680 4288 5360 8971 10720 17942 21440 35884 44855 71768 89710 143536 179420 287072 358840 574144 601057 717680 1202114 1435360 2404228 2870720 3005285 4808456 6010570 9616912 12021140 19233824 24042280 38467648 48084560 96169120 192338240