[go: up one dir, main page]

Search a number
-
+
137022192 = 2434105727
BaseRepresentation
bin10000010101011…
…00101011110000
3100112211110010000
420022230223300
5240034202232
621332510000
73252445416
oct1012545360
9315743100
10137022192
117038888a
1239a7b300
1322506b28
14142ab2b6
15c06927c
hex82acaf0

137022192 has 50 divisors (see below), whose sum is σ = 396585728. Its totient is φ = 45673632.

The previous prime is 137022191. The next prime is 137022199. The reversal of 137022192 is 291220731.

It is a super-2 number, since 2×1370221922 = 37550162200969728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137022191) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51568 + ... + 54159.

Almost surely, 2137022192 is an apocalyptic number.

137022192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137022192 is an abundant number, since it is smaller than the sum of its proper divisors (259563536).

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

137022192 is a wasteful number, since it uses less digits than its factorization.

137022192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105747 (or 105732 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137022192 is about 11705.6478675894. The cubic root of 137022192 is about 515.5415072745.

The spelling of 137022192 in words is "one hundred thirty-seven million, twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 105727 211454 317181 422908 634362 845816 951543 1268724 1691632 1903086 2537448 2854629 3806172 5074896 5709258 7612344 8563887 11418516 15224688 17127774 22837032 34255548 45674064 68511096 137022192