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2251330240 = 2657099923
BaseRepresentation
bin1000011000110000…
…1001001011000000
312210220021102111111
42012030021023000
514102320031430
61011221453104
7106534664005
oct20614111300
95726242444
102251330240
11a558a9805
12529b71194
1329b564393
14174ddd8ac
15d29aac2a
hex863092c0

2251330240 has 56 divisors (see below), whose sum is σ = 5369082480. Its totient is φ = 899171328.

The previous prime is 2251330223. The next prime is 2251330243. The reversal of 2251330240 is 420331522.

It is not an unprimeable number, because it can be changed into a prime (2251330243) 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, 221919 + ... + 231841.

Almost surely, 22251330240 is an apocalyptic number.

2251330240 is a gapful number since it is divisible by the number (20) 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 2251330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684541240).

2251330240 is an abundant number, since it is smaller than the sum of its proper divisors (3117752240).

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

2251330240 is an equidigital number, since it uses as much as digits as its factorization.

2251330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2251330240 is about 47448.1847914122. The cubic root of 2251330240 is about 1310.6288843800.

Adding to 2251330240 its reverse (420331522), we get a palindrome (2671661762).

The spelling of 2251330240 in words is "two billion, two hundred fifty-one million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 709 1418 2836 3545 5672 7090 9923 11344 14180 19846 22688 28360 39692 45376 49615 56720 79384 99230 113440 158768 198460 226880 317536 396920 635072 793840 1587680 3175360 7035407 14070814 28141628 35177035 56283256 70354070 112566512 140708140 225133024 281416280 450266048 562832560 1125665120 2251330240