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2211425064 = 23349533581
BaseRepresentation
bin1000001111001111…
…1010101100101000
312201010012000220000
42003303322230220
514012111100224
61003234303000
7105541542252
oct20363725450
95633160800
102211425064
11a35323422
12518727a60
13293201a54
1416d9b2cd2
15ce2270c9
hex83cfab28

2211425064 has 80 divisors (see below), whose sum is σ = 6202268820. Its totient is φ = 736162560.

The previous prime is 2211425063. The next prime is 2211425081. The reversal of 2211425064 is 4605241122.

2211425064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2138322564 + 73102500 = 46242^2 + 8550^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2211425063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 615754 + ... + 619334.

Almost surely, 22211425064 is an apocalyptic number.

2211425064 is a gapful number since it is divisible by the number (24) 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 2211425064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101134410).

2211425064 is an abundant number, since it is smaller than the sum of its proper divisors (3990843756).

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

2211425064 is a wasteful number, since it uses less digits than its factorization.

2211425064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2211425064 is about 47025.7914765929. The cubic root of 2211425064 is about 1302.8389759289.

Adding to 2211425064 its reverse (4605241122), we get a palindrome (6816666186).

The spelling of 2211425064 in words is "two billion, two hundred eleven million, four hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 953 1906 2859 3581 3812 5718 7162 7624 8577 10743 11436 14324 17154 21486 22872 25731 28648 32229 34308 42972 51462 64458 68616 77193 85944 96687 102924 128916 154386 193374 205848 257832 290061 308772 386748 580122 617544 773496 1160244 2320488 3412693 6825386 10238079 13650772 20476158 27301544 30714237 40952316 61428474 81904632 92142711 122856948 184285422 245713896 276428133 368570844 552856266 737141688 1105712532 2211425064