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2192397042 = 231119329167
BaseRepresentation
bin1000001010101101…
…0101001011110010
312122210101022100110
42002223111023302
513442223201132
61001314402150
7105221032053
oct20253251362
95583338313
102192397042
11a25607390
12512290356
1328c29bb74
1416b25c72a
15cc7191cc
hex82ad52f2

2192397042 has 128 divisors (see below), whose sum is σ = 5254502400. Its totient is φ = 604054080.

The previous prime is 2192397037. The next prime is 2192397079. The reversal of 2192397042 is 2407932912.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13128043 + ... + 13128209.

It is an arithmetic number, because the mean of its divisors is an integer number (41050800).

Almost surely, 22192397042 is an apocalyptic number.

2192397042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2192397042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627251200).

2192397042 is an abundant number, since it is smaller than the sum of its proper divisors (3062105358).

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

2192397042 is a wasteful number, since it uses less digits than its factorization.

2192397042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2192397042 is about 46823.0396493009. The cubic root of 2192397042 is about 1299.0914839614.

The spelling of 2192397042 in words is "two billion, one hundred ninety-two million, three hundred ninety-seven thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 167 174 209 319 334 361 418 501 551 627 638 722 957 1002 1083 1102 1254 1653 1837 1914 2166 3173 3306 3674 3971 4843 5511 6061 6346 6859 7942 9519 9686 10469 11022 11913 12122 13718 14529 18183 19038 20577 20938 23826 29058 31407 34903 36366 41154 53273 60287 62814 69806 75449 92017 104709 106546 115159 120574 150898 159819 180861 184034 198911 209418 226347 230318 276051 319638 345477 361722 397822 452694 552102 596733 663157 690954 1012187 1145453 1193466 1326314 1748323 1989471 2024374 2188021 2290906 3036561 3436359 3496646 3978942 4376042 5244969 6073122 6564063 6872718 10489938 12599983 13128126 19231553 25199966 33218137 37799949 38463106 57694659 66436274 75599898 99654411 115389318 199308822 365399507 730799014 1096198521 2192397042