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2261125244 = 2272931432089
BaseRepresentation
bin1000011011000110…
…0000100001111100
312211120201001201102
42012301200201330
514112322001434
61012211432232
7110014150610
oct20661404174
95746631642
102261125244
11a60389954
125312b5678
132a05b3841
1417642d340
15d379307e
hex86c6087c

2261125244 has 96 divisors (see below), whose sum is σ = 4943769600. Its totient is φ = 883975680.

The previous prime is 2261125231. The next prime is 2261125289. The reversal of 2261125244 is 4425211622.

It is a super-2 number, since 2×22611252442 = 10225374738108119072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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, 1081352 + ... + 1083440.

It is an arithmetic number, because the mean of its divisors is an integer number (51497600).

Almost surely, 22261125244 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 2261125244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471884800).

2261125244 is an abundant number, since it is smaller than the sum of its proper divisors (2682644356).

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

2261125244 is a wasteful number, since it uses less digits than its factorization.

2261125244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2201 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 2261125244 is about 47551.2906659746. The cubic root of 2261125244 is about 1312.5268796188.

Adding to 2261125244 its reverse (4425211622), we get a palindrome (6686336866).

The spelling of 2261125244 in words is "two billion, two hundred sixty-one million, one hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 31 43 58 62 86 116 124 172 203 217 301 406 434 602 812 868 899 1204 1247 1333 1798 2089 2494 2666 3596 4178 4988 5332 6293 8356 8729 9331 12586 14623 17458 18662 25172 29246 34916 37324 38657 58492 60581 64759 77314 89827 121162 129518 154628 179654 242324 259036 270599 359308 424067 453313 541198 628789 848134 906626 1082396 1257578 1696268 1813252 1878011 2515156 2604983 2784637 3756022 5209966 5569274 7512044 10419932 11138548 13146077 18234881 19492459 26292154 36469762 38984918 52584308 72939524 77969836 80754473 161508946 323017892 565281311 1130562622 2261125244