Search a number
-
+
1045225512 = 2333311391123
BaseRepresentation
bin111110010011001…
…110000000101000
32200211202221212000
4332103032000220
54120034204022
6251414451000
734621161462
oct7623160050
92624687760
101045225512
11497003441
12252063a60
13138713346
149cb61132
1561b666ac
hex3e4ce028

1045225512 has 128 divisors (see below), whose sum is σ = 3021312000. Its totient is φ = 334445760.

The previous prime is 1045225507. The next prime is 1045225567. The reversal of 1045225512 is 2155225401.

1045225512 is a `hidden beast` number, since 104 + 5 + 2 + 2 + 551 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 930183 + ... + 931305.

It is an arithmetic number, because the mean of its divisors is an integer number (23604000).

Almost surely, 21045225512 is an apocalyptic number.

1045225512 is a gapful number since it is divisible by the number (12) 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 1045225512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510656000).

1045225512 is an abundant number, since it is smaller than the sum of its proper divisors (1976086488).

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

1045225512 is a wasteful number, since it uses less digits than its factorization.

1045225512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1045225512 is about 32329.9476028032. The cubic root of 1045225512 is about 1014.8534532453.

The spelling of 1045225512 in words is "one billion, forty-five million, two hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 139 186 216 248 278 279 372 417 556 558 744 834 837 1112 1116 1123 1251 1668 1674 2232 2246 2502 3336 3348 3369 3753 4309 4492 5004 6696 6738 7506 8618 8984 10008 10107 12927 13476 15012 17236 20214 25854 26952 30024 30321 34472 34813 38781 40428 51708 60642 69626 77562 80856 103416 104439 116343 121284 139252 155124 156097 208878 232686 242568 278504 310248 312194 313317 417756 465372 468291 624388 626634 835512 930744 936582 939951 1248776 1253268 1404873 1873164 1879902 2506536 2809746 3746328 3759804 4214619 4839007 5619492 7519608 8429238 9678014 11238984 14517021 16858476 19356028 29034042 33716952 38712056 43551063 58068084 87102126 116136168 130653189 174204252 261306378 348408504 522612756 1045225512