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2242056192 = 2123237933
BaseRepresentation
bin1000010110100011…
…0001000000000000
312210020211020220020
42011220301000000
514042431244232
61010251013440
7106363106655
oct20550610000
95706736806
102242056192
11a50645002
12526a3a280
1329966808c
14173aa7c2c
15d1c77e2c
hex85a31000

2242056192 has 104 divisors (see below), whose sum is σ = 6238789824. Its totient is φ = 714768384.

The previous prime is 2242056161. The next prime is 2242056197. The reversal of 2242056192 is 2916502422.

It is not an unprimeable number, because it can be changed into a prime (2242056197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278658 + ... + 286590.

Almost surely, 22242056192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242056192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119394912).

2242056192 is an abundant number, since it is smaller than the sum of its proper divisors (3996733632).

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

2242056192 is an equidigital number, since it uses as much as digits as its factorization.

2242056192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2242056192 is about 47350.3557747986. The cubic root of 2242056192 is about 1308.8267552313.

The spelling of 2242056192 in words is "two billion, two hundred forty-two million, fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 7933 8832 11776 12288 15866 17664 23552 23799 31732 35328 47104 47598 63464 70656 94208 95196 126928 141312 182459 190392 253856 282624 364918 380784 507712 547377 729836 761568 1015424 1094754 1459672 1523136 2030848 2189508 2919344 3046272 4061696 4379016 5838688 6092544 8123392 8758032 11677376 12185088 16246784 17516064 23354752 24370176 32493568 35032128 46709504 48740352 70064256 93419008 97480704 140128512 186838016 280257024 373676032 560514048 747352064 1121028096 2242056192