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192014144 = 26738747
BaseRepresentation
bin10110111000111…
…10011101000000
3111101022022212222
423130132131000
5343123423034
631015310212
74521044000
oct1334363500
9441268788
10192014144
1199429083
125437b368
1330a1c44a
141b704000
1511ccd12e
hexb71e740

192014144 has 56 divisors (see below), whose sum is σ = 444398400. Its totient is φ = 82282368.

The previous prime is 192014117. The next prime is 192014197. The reversal of 192014144 is 441410291.

192014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 17579 + ... + 26325.

Almost surely, 2192014144 is an apocalyptic number.

192014144 is a gapful number since it is divisible by the number (14) 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 192014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222199200).

192014144 is an abundant number, since it is smaller than the sum of its proper divisors (252384256).

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

192014144 is an frugal number, since it uses more digits than its factorization.

192014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 192014144 is about 13856.9168287899. The cubic root of 192014144 is about 576.9139938709.

The spelling of 192014144 in words is "one hundred ninety-two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 5488 8747 10976 17494 21952 34988 61229 69976 122458 139952 244916 279904 428603 489832 559808 857206 979664 1714412 1959328 3000221 3428824 3918656 6000442 6857648 12000884 13715296 24001768 27430592 48003536 96007072 192014144