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2292067416 = 23337269761
BaseRepresentation
bin1000100010011110…
…0010110001011000
312220201221002101210
42020213202301120
514143232124131
61015234543120
7110541152202
oct21047426130
95821832353
102292067416
11a768a31a1
1253b737aa0
132a6b28612
1417a5a5772
15d6356146
hex889e2c58

2292067416 has 48 divisors (see below), whose sum is σ = 5889308040. Its totient is φ = 743362560.

The previous prime is 2292067409. The next prime is 2292067439. The reversal of 2292067416 is 6147602922.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2025 + ... + 67736.

Almost surely, 22292067416 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 2292067416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944654020).

2292067416 is an abundant number, since it is smaller than the sum of its proper divisors (3597240624).

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

2292067416 is a wasteful number, since it uses less digits than its factorization.

2292067416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69844 (or 69803 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2292067416 is about 47875.5408951168. The cubic root of 2292067416 is about 1318.4868289535.

The spelling of 2292067416 in words is "two billion, two hundred ninety-two million, sixty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1369 2738 4107 5476 8214 10952 16428 32856 69761 139522 209283 279044 418566 558088 837132 1674264 2581157 5162314 7743471 10324628 15486942 20649256 30973884 61947768 95502809 191005618 286508427 382011236 573016854 764022472 1146033708 2292067416