Search a number
-
+
162242122240 = 295115761439
BaseRepresentation
bin1001011100011001100…
…0100101001000000000
3120111202221011202111101
42113012120211020000
510124232440402430
6202311043424144
714502340166512
oct2270630451000
9514687152441
10162242122240
11628964a2850
122753a685054
13123b7928a83
147bd15d7bb2
154348729dca
hex25c6625200

162242122240 has 80 divisors (see below), whose sum is σ = 424364624640. Its totient is φ = 58997125120.

The previous prime is 162242122169. The next prime is 162242122243. The reversal of 162242122240 is 42221242261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 162242122199 and 162242122208.

It is not an unprimeable number, because it can be changed into a prime (162242122243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2852560 + ... + 2908879.

It is an arithmetic number, because the mean of its divisors is an integer number (5304557808).

Almost surely, 2162242122240 is an apocalyptic number.

162242122240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162242122240 is an abundant number, since it is smaller than the sum of its proper divisors (262122502400).

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

162242122240 is an equidigital number, since it uses as much as digits as its factorization.

162242122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761473 (or 5761457 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

It can be divided in two parts, 162242 and 122240, that added together give a palindrome (284482).

The spelling of 162242122240 in words is "one hundred sixty-two billion, two hundred forty-two million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 5761439 11522878 23045756 28807195 46091512 57614390 63375829 92183024 115228780 126751658 184366048 230457560 253503316 316879145 368732096 460915120 507006632 633758290 737464192 921830240 1014013264 1267516580 1474928384 1843660480 2028026528 2535033160 2949856768 3687320960 4056053056 5070066320 7374641920 8112106112 10140132640 14749283840 16224212224 20280265280 32448424448 40560530560 81121061120 162242122240