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2251649216 = 262310314851
BaseRepresentation
bin1000011000110101…
…0111000011000000
312210220212122001102
42012031113003000
514102410233331
61011232353532
7106540462655
oct20615270300
95726778042
102251649216
11a55aa7423
1252a0a58a8
1329b64661b
14175083c2c
15d2a204cb
hex863570c0

2251649216 has 56 divisors (see below), whose sum is σ = 4707965184. Its totient is φ = 1066348800.

The previous prime is 2251649209. The next prime is 2251649219. The reversal of 2251649216 is 6129461522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2251649216.

It is not an unprimeable number, because it can be changed into a prime (2251649219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144191 + ... + 159041.

Almost surely, 22251649216 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 2251649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353982592).

2251649216 is an abundant number, since it is smaller than the sum of its proper divisors (2456315968).

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

2251649216 is a wasteful number, since it uses less digits than its factorization.

2251649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14989 (or 14979 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 2251649216 is about 47451.5459811374. The cubic root of 2251649216 is about 1310.6907795519.

The spelling of 2251649216 in words is "two billion, two hundred fifty-one million, six hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 184 206 368 412 736 824 1472 1648 2369 3296 4738 6592 9476 14851 18952 29702 37904 59404 75808 118808 151616 237616 341573 475232 683146 950464 1366292 1529653 2732584 3059306 5465168 6118612 10930336 12237224 21860672 24474448 35182019 48948896 70364038 97897792 140728076 281456152 562912304 1125824608 2251649216