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2291998392 = 2332233144647
BaseRepresentation
bin1000100010011101…
…0001111010111000
312220201210120201100
42020213101322320
514143222422032
61015233251400
7110540444025
oct21047217270
95821716640
102291998392
11a76856352
1253b703b60
132a6b03088
1417a58854c
15d634097c
hex889d1eb8

2291998392 has 96 divisors (see below), whose sum is σ = 6686484480. Its totient is φ = 707192640.

The previous prime is 2291998391. The next prime is 2291998393. The reversal of 2291998392 is 2938991922.

It is an interprime number because it is at equal distance from previous prime (2291998391) and next prime (2291998393).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291998391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29013 + ... + 73659.

It is an arithmetic number, because the mean of its divisors is an integer number (69650880).

Almost surely, 22291998392 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 2291998392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343242240).

2291998392 is an abundant number, since it is smaller than the sum of its proper divisors (4394486088).

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

2291998392 is a wasteful number, since it uses less digits than its factorization.

2291998392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44713 (or 44706 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 2291998392 is about 47874.8200205494. The cubic root of 2291998392 is about 1318.4735937191.

The spelling of 2291998392 in words is "two billion, two hundred ninety-one million, nine hundred ninety-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1426 1656 2139 2232 2852 4278 5704 6417 8556 12834 17112 25668 44647 51336 89294 133941 178588 267882 357176 401823 535764 803646 1026881 1071528 1384057 1607292 2053762 2768114 3080643 3214584 4107524 4152171 5536228 6161286 8215048 8304342 9241929 11072456 12322572 12456513 16608684 18483858 24645144 24913026 31833311 33217368 36967716 49826052 63666622 73935432 95499933 99652104 127333244 190999866 254666488 286499799 381999732 572999598 763999464 1145999196 2291998392