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2401022016 = 26325996959
BaseRepresentation
bin1000111100011100…
…1011000001000000
320012022221120000100
42033013023001000
514404130201031
61034130122400
7113333231121
oct21707130100
96168846010
102401022016
111022350418
12570120400
132c3585bb3
1418ac48048
15e0bc8de6
hex8f1cb040

2401022016 has 84 divisors (see below), whose sum is σ = 6894576000. Its totient is φ = 798889728.

The previous prime is 2401022009. The next prime is 2401022023. The reversal of 2401022016 is 6102201042.

It is an interprime number because it is at equal distance from previous prime (2401022009) and next prime (2401022023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2401022016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341545 + ... + 348503.

Almost surely, 22401022016 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 2401022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447288000).

2401022016 is an abundant number, since it is smaller than the sum of its proper divisors (4493553984).

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

2401022016 is a wasteful number, since it uses less digits than its factorization.

2401022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2401022016 is about 49000.2246525462. The cubic root of 2401022016 is about 1339.0559207457.

Adding to 2401022016 its reverse (6102201042), we get a palindrome (8503223058).

The spelling of 2401022016 in words is "two billion, four hundred one million, twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 599 1198 1797 2396 3594 4792 5391 6959 7188 9584 10782 13918 14376 19168 20877 21564 27836 28752 38336 41754 43128 55672 57504 62631 83508 86256 111344 115008 125262 167016 172512 222688 250524 334032 345024 445376 501048 668064 1002096 1336128 2004192 4008384 4168441 8336882 12505323 16673764 25010646 33347528 37515969 50021292 66695056 75031938 100042584 133390112 150063876 200085168 266780224 300127752 400170336 600255504 800340672 1200511008 2401022016