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2254541240 = 235729327481
BaseRepresentation
bin1000011001100001…
…1001000110111000
312211010022120011102
42012120121012320
514104130304430
61011414350532
7106604166350
oct20630310670
95733276142
102254541240
11a576a2226
1252b05b448
1329c119a93
141755d7b60
15d2de2345
hex866191b8

2254541240 has 64 divisors (see below), whose sum is σ = 5817389760. Its totient is φ = 770319360.

The previous prime is 2254541231. The next prime is 2254541243. The reversal of 2254541240 is 421454522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254541243) 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 15 ways as a sum of consecutive naturals, for example, 68300 + ... + 95780.

It is an arithmetic number, because the mean of its divisors is an integer number (90896715).

Almost surely, 22254541240 is an apocalyptic number.

2254541240 is a gapful number since it is divisible by the number (20) 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 2254541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908694880).

2254541240 is an abundant number, since it is smaller than the sum of its proper divisors (3562848520).

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

2254541240 is a wasteful number, since it uses less digits than its factorization.

2254541240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27792 (or 27788 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 2254541240 is about 47482.0096457595. The cubic root of 2254541240 is about 1311.2516910026.

Adding to 2254541240 its reverse (421454522), we get a palindrome (2675995762).

The spelling of 2254541240 in words is "two billion, two hundred fifty-four million, five hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 293 586 1172 1465 2051 2344 2930 4102 5860 8204 10255 11720 16408 20510 27481 41020 54962 82040 109924 137405 192367 219848 274810 384734 549620 769468 961835 1099240 1538936 1923670 3847340 7694680 8051933 16103866 32207732 40259665 56363531 64415464 80519330 112727062 161038660 225454124 281817655 322077320 450908248 563635310 1127270620 2254541240