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2231774048 = 257191274129
BaseRepresentation
bin1000010100000110…
…0010101101100000
312202112110212110002
42011001202231200
514032313232143
61005242355132
7106206523610
oct20501425540
95675425402
102231774048
11a45861969
125234bbaa8
132974a7c7a
1417258ca40
15d0de65b8
hex85062b60

2231774048 has 96 divisors (see below), whose sum is σ = 5328691200. Its totient is φ = 898781184.

The previous prime is 2231774047. The next prime is 2231774053. The reversal of 2231774048 is 8404771322.

It is a super-3 number, since 3×22317740483 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231774047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 538448 + ... + 542576.

It is an arithmetic number, because the mean of its divisors is an integer number (55507200).

Almost surely, 22231774048 is an apocalyptic number.

2231774048 is a gapful number since it is divisible by the number (28) 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 2231774048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664345600).

2231774048 is an abundant number, since it is smaller than the sum of its proper divisors (3096917152).

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

2231774048 is a wasteful number, since it uses less digits than its factorization.

2231774048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2231774048 is about 47241.6558558228. The cubic root of 2231774048 is about 1306.8229145841.

The spelling of 2231774048 in words is "two billion, two hundred thirty-one million, seven hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 127 133 152 224 254 266 304 508 532 608 889 1016 1064 1778 2032 2128 2413 3556 4064 4129 4256 4826 7112 8258 9652 14224 16516 16891 19304 28448 28903 33032 33782 38608 57806 66064 67564 77216 78451 115612 132128 135128 156902 231224 270256 313804 462448 524383 540512 549157 627608 924896 1048766 1098314 1255216 2097532 2196628 2510432 3670681 4195064 4393256 7341362 8390128 8786512 9963277 14682724 16780256 17573024 19926554 29365448 39853108 58730896 69742939 79706216 117461792 139485878 159412432 278971756 318824864 557943512 1115887024 2231774048