Search a number
-
+
2248723005 = 357121110007
BaseRepresentation
bin1000011000001000…
…1100101000111101
312210201100222001020
42012002030220331
514101133114010
61011045534353
7106503554514
oct20602145075
95721328036
102248723005
11a54388971
125291143b9
1329ab60739
1417492167b
15d2643470
hex8608ca3d

2248723005 has 32 divisors (see below), whose sum is σ = 3666290688. Its totient is φ = 1176705600.

The previous prime is 2248723003. The next prime is 2248723051. The reversal of 2248723005 is 5003278422.

It is not a de Polignac number, because 2248723005 - 21 = 2248723003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248723003) 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 31 ways as a sum of consecutive naturals, for example, 219712 + ... + 229718.

It is an arithmetic number, because the mean of its divisors is an integer number (114571584).

Almost surely, 22248723005 is an apocalyptic number.

It is an amenable number.

2248723005 is a deficient number, since it is larger than the sum of its proper divisors (1417567683).

2248723005 is a wasteful number, since it uses less digits than its factorization.

2248723005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10297.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2248723005 is about 47420.7022828638. The cubic root of 2248723005 is about 1310.1227484382.

The spelling of 2248723005 in words is "two billion, two hundred forty-eight million, seven hundred twenty-three thousand, five".

Divisors: 1 3 5 15 71 211 213 355 633 1055 1065 3165 10007 14981 30021 44943 50035 74905 150105 224715 710497 2111477 2131491 3552485 6334431 10557385 10657455 31672155 149914867 449744601 749574335 2248723005