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2208997512 = 23322921912
BaseRepresentation
bin1000001110101010…
…1010000010001000
312200221121200220200
42003222222002020
514011000410022
61003110252200
7105512111661
oct20352520210
95627550820
102208997512
11a33a15587
12517957060
13292861b27
1416d540368
15cdde7bac
hex83aaa088

2208997512 has 108 divisors (see below), whose sum is σ = 6228725685. Its totient is φ = 707219520.

The previous prime is 2208997507. The next prime is 2208997523. The reversal of 2208997512 is 2157998022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2207684196 + 1313316 = 46986^2 + 1146^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33234.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11565337 + ... + 11565527.

Almost surely, 22208997512 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 2208997512

2208997512 is an abundant number, since it is smaller than the sum of its proper divisors (4019728173).

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

2208997512 is a wasteful number, since it uses less digits than its factorization.

2208997512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2208997512 is about 46999.9735319074. The cubic root of 2208997512 is about 1302.3620787178.

The spelling of 2208997512 in words is "two billion, two hundred eight million, nine hundred ninety-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 191 232 261 348 382 522 573 696 764 841 1044 1146 1528 1682 1719 2088 2292 2523 3364 3438 4584 5046 5539 6728 6876 7569 10092 11078 13752 15138 16617 20184 22156 30276 33234 36481 44312 49851 60552 66468 72962 99702 109443 132936 145924 160631 199404 218886 291848 321262 328329 398808 437772 481893 642524 656658 875544 963786 1057949 1285048 1313316 1445679 1927572 2115898 2626632 2891358 3173847 3855144 4231796 5782716 6347694 8463592 9521541 11565432 12695388 19043082 25390776 30680521 38086164 61361042 76172328 92041563 122722084 184083126 245444168 276124689 368166252 552249378 736332504 1104498756 2208997512