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2225786780 = 2257210512161
BaseRepresentation
bin1000010010101010…
…1100111110011100
312202010012200110102
42010222230332130
514024300134110
61004510200232
7106104606200
oct20452547634
95663180412
102225786780
11a42442608
125214b3078
1329618c9c9
14171870b00
15d06125a5
hex84aacf9c

2225786780 has 72 divisors (see below), whose sum is σ = 5444971056. Its totient is φ = 762048000.

The previous prime is 2225786767. The next prime is 2225786807. The reversal of 2225786780 is 876875222.

2225786780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028900 + ... + 1031060.

It is an arithmetic number, because the mean of its divisors is an integer number (75624598).

Almost surely, 22225786780 is an apocalyptic number.

2225786780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225786780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722485528).

2225786780 is an abundant number, since it is smaller than the sum of its proper divisors (3219184276).

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

2225786780 is a wasteful number, since it uses less digits than its factorization.

2225786780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 2225786780 is about 47178.2447744721. The cubic root of 2225786780 is about 1305.6532462473.

The spelling of 2225786780 in words is "two billion, two hundred twenty-five million, seven hundred eighty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1051 2102 2161 4204 4322 5255 7357 8644 10510 10805 14714 15127 21020 21610 29428 30254 36785 43220 51499 60508 73570 75635 102998 105889 147140 151270 205996 211778 257495 302540 423556 514990 529445 1029980 1058890 2117780 2271211 4542422 9084844 11356055 15898477 22712110 31796954 45424220 63593908 79492385 111289339 158984770 222578678 317969540 445157356 556446695 1112893390 2225786780