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2292714928 = 247171398663
BaseRepresentation
bin1000100010101000…
…0000110110110000
312220210010222121201
42020222000312300
514143413334203
61015300500544
7110546520040
oct21052006660
95823128551
102292714928
11a771a5729
1253b9aa754
132a6cc426a
1417a6d3720
15d6432e1d
hex88a80db0

2292714928 has 80 divisors (see below), whose sum is σ = 5414653440. Its totient is φ = 918033408.

The previous prime is 2292714917. The next prime is 2292714947. The reversal of 2292714928 is 8294172922.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260325 + ... + 268987.

It is an arithmetic number, because the mean of its divisors is an integer number (67683168).

Almost surely, 22292714928 is an apocalyptic number.

2292714928 is a gapful number since it is divisible by the number (28) 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 2292714928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707326720).

2292714928 is an abundant number, since it is smaller than the sum of its proper divisors (3121938512).

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

2292714928 is a wasteful number, since it uses less digits than its factorization.

2292714928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8828 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 2292714928 is about 47882.3028685965. The cubic root of 2292714928 is about 1318.6109753401.

The spelling of 2292714928 in words is "two billion, two hundred ninety-two million, seven hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 139 238 272 278 476 556 952 973 1112 1904 1946 2224 2363 3892 4726 7784 8663 9452 15568 16541 17326 18904 33082 34652 37808 60641 66164 69304 121282 132328 138608 147271 242564 264656 294542 485128 589084 970256 1030897 1178168 1204157 2061794 2356336 2408314 4123588 4816628 8247176 8429099 9633256 16494352 16858198 19266512 20470669 33716396 40941338 67432792 81882676 134865584 143294683 163765352 286589366 327530704 573178732 1146357464 2292714928