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2251026064 = 247193134123
BaseRepresentation
bin1000011000101011…
…1110111010010000
312210212200222020201
42012022332322100
514102230313224
61011211144544
7106532256130
oct20612767220
95725628221
102251026064
11a55711221
12529a45154
1329b488ab1
14174d60ac0
15d294aa44
hex862bee90

2251026064 has 80 divisors (see below), whose sum is σ = 5416161280. Its totient is φ = 884442240.

The previous prime is 2251026059. The next prime is 2251026101. The reversal of 2251026064 is 4606201522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48907 + ... + 83029.

It is an arithmetic number, because the mean of its divisors is an integer number (67702016).

Almost surely, 22251026064 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 2251026064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708080640).

2251026064 is an abundant number, since it is smaller than the sum of its proper divisors (3165135216).

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

2251026064 is a wasteful number, since it uses less digits than its factorization.

2251026064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34188 (or 34182 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2251026064 is about 47444.9793339611. The cubic root of 2251026064 is about 1310.5698556038.

Adding to 2251026064 its reverse (4606201522), we get a palindrome (6857227586).

The spelling of 2251026064 in words is "two billion, two hundred fifty-one million, twenty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1064 1178 1736 2128 2356 3472 4123 4712 8246 9424 16492 32984 34123 65968 68246 136492 238861 272984 477722 545968 648337 955444 1057813 1296674 1910888 2115626 2593348 3821776 4231252 4538359 5186696 7404691 8462504 9076718 10373392 14809382 16925008 18153436 20098447 29618764 36306872 40196894 59237528 72613744 80393788 118475056 140689129 160787576 281378258 321575152 562756516 1125513032 2251026064