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2251213812 = 2232229273073
BaseRepresentation
bin1000011000101110…
…1100101111110100
312210220001111210100
42012023230233310
514102302320222
61011215154100
7106534000401
oct20613545764
95726044710
102251213812
11a5582a291
12529b15930
1329b5233a3
14174dad2a8
15d29864ac
hex862ecbf4

2251213812 has 36 divisors (see below), whose sum is σ = 5715438820. Its totient is φ = 747124992.

The previous prime is 2251213799. The next prime is 2251213813. The reversal of 2251213812 is 2183121522.

2251213812 is a `hidden beast` number, since 2 + 2 + 512 + 138 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 845413776 + 1405800036 = 29076^2 + 37494^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251213813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128293 + ... + 144780.

Almost surely, 22251213812 is an apocalyptic number.

It is an amenable number.

2251213812 is an abundant number, since it is smaller than the sum of its proper divisors (3464225008).

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

2251213812 is a wasteful number, since it uses less digits than its factorization.

2251213812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273312 (or 273307 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2251213812 is about 47446.9578792993. The cubic root of 2251213812 is about 1310.6062908444.

The spelling of 2251213812 in words is "two billion, two hundred fifty-one million, two hundred thirteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 273073 546146 819219 1092292 1638438 2457657 3276876 4915314 9830628 62533717 125067434 187601151 250134868 375202302 562803453 750404604 1125606906 2251213812