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2256277050 = 232527170619
BaseRepresentation
bin1000011001111100…
…0000111000111010
312211020120202020200
42012133000320322
514110101331200
61011515503030
7106625016126
oct20637007072
95736522220
102256277050
11a58678385
1252b757a76
1329c5a6ba1
1417592a586
15d3136800
hex867c0e3a

2256277050 has 72 divisors (see below), whose sum is σ = 6147329760. Its totient is φ = 593191200.

The previous prime is 2256277033. The next prime is 2256277091. The reversal of 2256277050 is 507726522.

2256277050 is a `hidden beast` number, since 2 + 25 + 627 + 7 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×22562770502 = 10181572252713405000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2256276996 and 2256277014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3360 + ... + 67259.

It is an arithmetic number, because the mean of its divisors is an integer number (85379580).

Almost surely, 22256277050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256277050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073664880).

2256277050 is an abundant number, since it is smaller than the sum of its proper divisors (3891052710).

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

2256277050 is a wasteful number, since it uses less digits than its factorization.

2256277050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70708 (or 70700 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2256277050 is about 47500.2847359887. The cubic root of 2256277050 is about 1311.5881230706.

The spelling of 2256277050 in words is "two billion, two hundred fifty-six million, two hundred seventy-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 426 450 639 710 1065 1278 1775 2130 3195 3550 5325 6390 10650 15975 31950 70619 141238 211857 353095 423714 635571 706190 1059285 1271142 1765475 2118570 3177855 3530950 5013949 5296425 6355710 10027898 10592850 15041847 15889275 25069745 30083694 31778550 45125541 50139490 75209235 90251082 125348725 150418470 225627705 250697450 376046175 451255410 752092350 1128138525 2256277050