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2261085552 = 2432111427453
BaseRepresentation
bin1000011011000101…
…0110110101110000
312211120122001021100
42012301112311300
514112314214202
61012210524400
7110013624105
oct20661266560
95746561240
102261085552
11a60362050
12531296700
132a059b75b
1417641caac
15d378641c
hex86c56d70

2261085552 has 60 divisors (see below), whose sum is σ = 6903167544. Its totient is φ = 685176960.

The previous prime is 2261085529. The next prime is 2261085569. The reversal of 2261085552 is 2555801622.

It is a happy number.

2261085552 is a `hidden beast` number, since 2 + 26 + 1 + 0 + 85 + 552 = 666.

It is a super-2 number, since 2×22610855522 = 10225015746926289408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712143 + ... + 715310.

Almost surely, 22261085552 is an apocalyptic number.

2261085552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2261085552 is an abundant number, since it is smaller than the sum of its proper divisors (4642081992).

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

2261085552 is a wasteful number, since it uses less digits than its factorization.

2261085552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427478 (or 1427469 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2261085552 is about 47550.8733042833. The cubic root of 2261085552 is about 1312.5191995015.

The spelling of 2261085552 in words is "two billion, two hundred sixty-one million, eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1427453 2854906 4282359 5709812 8564718 11419624 12847077 15701983 17129436 22839248 25694154 31403966 34258872 47105949 51388308 62807932 68517744 94211898 102776616 125615864 141317847 188423796 205553232 251231728 282635694 376847592 565271388 753695184 1130542776 2261085552