Search a number
-
+
2261023452 = 2232731038353
BaseRepresentation
bin1000011011000100…
…0111101011011100
312211120111220002100
42012301013223130
514112310222302
61012205325100
7110013245052
oct20661075334
95746456070
102261023452
11a6031a426
12531266790
132a05793cc
141764041d2
15d3772d1c
hex86c47adc

2261023452 has 72 divisors (see below), whose sum is σ = 5850606944. Its totient is φ = 736045056.

The previous prime is 2261023439. The next prime is 2261023459. The reversal of 2261023452 is 2543201622.

It is a happy number.

2261023452 is a `hidden beast` number, since 2 + 2 + 610 + 2 + 3 + 45 + 2 = 666.

2261023452 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22610234522 = 10224454100987992608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261023459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266508 + ... + 274860.

Almost surely, 22261023452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261023452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925303472).

2261023452 is an abundant number, since it is smaller than the sum of its proper divisors (3589583492).

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

2261023452 is a wasteful number, since it uses less digits than its factorization.

2261023452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2261023452 is about 47550.2203149470. The cubic root of 2261023452 is about 1312.5071834165.

The spelling of 2261023452 in words is "two billion, two hundred sixty-one million, twenty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 103 146 206 219 292 309 412 438 618 657 876 927 1236 1314 1854 2628 3708 7519 8353 15038 16706 22557 25059 30076 33412 45114 50118 67671 75177 90228 100236 135342 150354 270684 300708 609769 860359 1219538 1720718 1829307 2439076 2581077 3441436 3658614 5162154 5487921 7317228 7743231 10324308 10975842 15486462 21951684 30972924 62806207 125612414 188418621 251224828 376837242 565255863 753674484 1130511726 2261023452