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2252670876 = 22322315791723
BaseRepresentation
bin1000011001000101…
…0000011110011100
312210222210112111200
42012101100132130
514103140432001
61011310315500
7106552246401
oct20621203634
95728715450
102252670876
11a56634a75
1252a4b8b90
1329b913661
1417526c2a8
15d2b73086
hex8645079c

2252670876 has 72 divisors (see below), whose sum is σ = 5949041280. Its totient is φ = 717371424.

The previous prime is 2252670869. The next prime is 2252670877. The reversal of 2252670876 is 6780762522.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252670877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1306551 + ... + 1308273.

Almost surely, 22252670876 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 2252670876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974520640).

2252670876 is an abundant number, since it is smaller than the sum of its proper divisors (3696370404).

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

2252670876 is a wasteful number, since it uses less digits than its factorization.

2252670876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2252670876 is about 47462.3100575604. The cubic root of 2252670876 is about 1310.8889865451. Note that the first 3 decimals are identical.

The spelling of 2252670876 in words is "two billion, two hundred fifty-two million, six hundred seventy thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1579 1723 3158 3446 4737 5169 6316 6892 9474 10338 14211 15507 18948 20676 28422 31014 36317 39629 56844 62028 72634 79258 108951 118887 145268 158516 217902 237774 326853 356661 435804 475548 653706 713322 1307412 1426644 2720617 5441234 8161851 10882468 16323702 24485553 32647404 48971106 62574191 97942212 125148382 187722573 250296764 375445146 563167719 750890292 1126335438 2252670876