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2254730256 = 243413192
BaseRepresentation
bin1000011001100100…
…0111010000010000
312211010200011110000
42012121013100100
514104202332011
61011422410000
7106605614412
oct20631072020
95733604400
102254730256
11a57811239
1252b130900
1329c184b1c
141756469b2
15d2e2d356
hex86647410

2254730256 has 75 divisors (see below), whose sum is σ = 6530794831. Its totient is φ = 751006944.

The previous prime is 2254730237. The next prime is 2254730267. The reversal of 2254730256 is 6520374522.

The square root of 2254730256 is 47484.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2254730256.

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 14 ways as a sum of consecutive naturals, for example, 1708765 + ... + 1710083.

Almost surely, 22254730256 is an apocalyptic number.

2254730256 is the 47484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254730256

2254730256 is an abundant number, since it is smaller than the sum of its proper divisors (4276064575).

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

2254730256 is an frugal number, since it uses more digits than its factorization.

2254730256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The cubic root of 2254730256 is about 1311.2883341740.

Multiplying 2254730256 by its sum of digits (36), we get a square (81170289216 = 2849042).

2254730256 divided by its sum of digits (36) gives a square (62631396 = 79142).

The spelling of 2254730256 in words is "two billion, two hundred fifty-four million, seven hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1319 2638 3957 5276 7914 10552 11871 15828 21104 23742 31656 35613 47484 63312 71226 94968 106839 142452 189936 213678 284904 427356 569808 854712 1709424 1739761 3479522 5219283 6959044 10438566 13918088 15657849 20877132 27836176 31315698 41754264 46973547 62631396 83508528 93947094 125262792 140920641 187894188 250525584 281841282 375788376 563682564 751576752 1127365128 2254730256