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2297995728 = 24373294813
BaseRepresentation
bin1000100011111000…
…1010000111010000
312221011002021111220
42020332022013100
514201241330403
61020010005040
7110642433000
oct21076120720
95834067456
102297995728
11a7a182226
12541716780
132a8122ab2
1417b2aa000
15d6b27953
hex88f8a1d0

2297995728 has 160 divisors (see below), whose sum is σ = 7163232000. Its totient is φ = 633798144.

The previous prime is 2297995703. The next prime is 2297995747. The reversal of 2297995728 is 8275997922.

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 31 ways as a sum of consecutive naturals, for example, 475050 + ... + 479862.

It is an arithmetic number, because the mean of its divisors is an integer number (44770200).

Almost surely, 22297995728 is an apocalyptic number.

2297995728 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 2297995728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581616000).

2297995728 is an abundant number, since it is smaller than the sum of its proper divisors (4865236272).

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

2297995728 is a wasteful number, since it uses less digits than its factorization.

2297995728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4854 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The square root of 2297995728 is about 47937.4146987507. The cubic root of 2297995728 is about 1319.6225826400.

The spelling of 2297995728 in words is "two billion, two hundred ninety-seven million, nine hundred ninety-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 343 348 392 406 464 588 609 686 696 784 812 1029 1176 1218 1372 1392 1421 1624 2058 2352 2436 2744 2842 3248 4116 4263 4813 4872 5488 5684 8232 8526 9626 9744 9947 11368 14439 16464 17052 19252 19894 22736 28878 29841 33691 34104 38504 39788 57756 59682 67382 68208 77008 79576 101073 115512 119364 134764 139577 159152 202146 231024 235837 238728 269528 279154 404292 418731 471674 477456 539056 558308 707511 808584 837462 943348 977039 1116616 1415022 1617168 1650859 1674924 1886696 1954078 2233232 2830044 2931117 3301718 3349848 3773392 3908156 4952577 5660088 5862234 6603436 6699696 6839273 7816312 9905154 11320176 11724468 13206872 13678546 15632624 19810308 20517819 23448936 26413744 27357092 39620616 41035638 46897872 47874911 54714184 79241232 82071276 95749822 109428368 143624733 164142552 191499644 287249466 328285104 382999288 574498932 765998576 1148997864 2297995728