Search a number
-
+
2261022528 = 26323515009
BaseRepresentation
bin1000011011000100…
…0111011101000000
312211120111211211010
42012301013131000
514112310210103
61012205320520
7110013242262
oct20661073500
95746454733
102261022528
11a60319766
12531266140
132a0578b6b
14176403b32
15d3772903
hex86c47740

2261022528 has 56 divisors (see below), whose sum is σ = 5986028160. Its totient is φ = 753203200.

The previous prime is 2261022493. The next prime is 2261022563. The reversal of 2261022528 is 8252201622.

It is an interprime number because it is at equal distance from previous prime (2261022493) and next prime (2261022563).

It is a super-2 number, since 2×22610225282 = 10224445744247021568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2261022495 and 2261022504.

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 7 ways as a sum of consecutive naturals, for example, 448888 + ... + 453896.

It is an arithmetic number, because the mean of its divisors is an integer number (106893360).

Almost surely, 22261022528 is an apocalyptic number.

It is an amenable number.

2261022528 is an abundant number, since it is smaller than the sum of its proper divisors (3725005632).

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

2261022528 is a wasteful number, since it uses less digits than its factorization.

2261022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2261022528 is about 47550.2105989027. The cubic root of 2261022528 is about 1312.5070046247.

The spelling of 2261022528 in words is "two billion, two hundred sixty-one million, twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2351 4702 5009 7053 9404 10018 14106 15027 18808 20036 28212 30054 37616 40072 56424 60108 75232 80144 112848 120216 150464 160288 225696 240432 320576 451392 480864 961728 11776159 23552318 35328477 47104636 70656954 94209272 141313908 188418544 282627816 376837088 565255632 753674176 1130511264 2261022528