Search a number
-
+
2260775550 = 2352117871741
BaseRepresentation
bin1000011011000000…
…1011001001111110
312211120001022000210
42012300023021332
514112224304200
61012200133250
7110011163235
oct20660131176
95746038023
102260775550
11a60170150
12531167226
132a04c0617
1417637bb1c
15d3724650
hex86c0b27e

2260775550 has 96 divisors (see below), whose sum is σ = 6127714944. Its totient is φ = 547056000.

The previous prime is 2260775537. The next prime is 2260775563. The reversal of 2260775550 is 555770622.

It is an interprime number because it is at equal distance from previous prime (2260775537) and next prime (2260775563).

It is a super-2 number, since 2×22607755502 = 10222212174955605000, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2260775499 and 2260775508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297680 + ... + 1299420.

It is an arithmetic number, because the mean of its divisors is an integer number (63830364).

Almost surely, 22260775550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260775550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063857472).

2260775550 is an abundant number, since it is smaller than the sum of its proper divisors (3866939394).

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

2260775550 is a wasteful number, since it uses less digits than its factorization.

2260775550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 2260775550 is about 47547.6135047807. The cubic root of 2260775550 is about 1312.4592132450.

The spelling of 2260775550 in words is "two billion, two hundred sixty million, seven hundred seventy-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 787 825 1574 1650 1741 2361 3482 3935 4722 5223 7870 8657 8705 10446 11805 17314 17410 19151 19675 23610 25971 26115 38302 39350 43285 43525 51942 52230 57453 59025 86570 87050 95755 114906 118050 129855 130575 191510 216425 259710 261150 287265 432850 478775 574530 649275 957550 1298550 1370167 1436325 2740334 2872650 4110501 6850835 8221002 13701670 15071837 20552505 30143674 34254175 41105010 45215511 68508350 75359185 90431022 102762525 150718370 205525050 226077555 376795925 452155110 753591850 1130387775 2260775550