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2288626680 = 2335157331367
BaseRepresentation
bin1000100001101001…
…1010101111111000
312220111110021121010
42020122122233320
514141342023210
61015033113520
7110500001664
oct21032325770
95814407533
102288626680
11a7496310a
1253a5588a0
132a61c2492
14179d4b8a4
15d5dc6920
hex8869abf8

2288626680 has 128 divisors (see below), whose sum is σ = 6949370880. Its totient is φ = 602933760.

The previous prime is 2288626673. The next prime is 2288626733. The reversal of 2288626680 is 866268822.

2288626680 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 31 ways as a sum of consecutive naturals, for example, 6235857 + ... + 6236223.

It is an arithmetic number, because the mean of its divisors is an integer number (54291960).

Almost surely, 22288626680 is an apocalyptic number.

2288626680 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 2288626680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474685440).

2288626680 is an abundant number, since it is smaller than the sum of its proper divisors (4660744200).

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

2288626680 is a wasteful number, since it uses less digits than its factorization.

2288626680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2288626680 is about 47839.5932256954. The cubic root of 2288626680 is about 1317.8267499084.

The spelling of 2288626680 in words is "two billion, two hundred eighty-eight million, six hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 331 367 471 628 662 734 785 942 993 1101 1256 1324 1468 1570 1655 1835 1884 1986 2202 2355 2648 2936 3140 3310 3670 3768 3972 4404 4710 4965 5505 6280 6620 7340 7944 8808 9420 9930 11010 13240 14680 18840 19860 22020 39720 44040 51967 57619 103934 115238 121477 155901 172857 207868 230476 242954 259835 288095 311802 345714 364431 415736 460952 485908 519670 576190 607385 623604 691428 728862 779505 864285 971816 1039340 1152380 1214770 1247208 1382856 1457724 1559010 1728570 1822155 2078680 2304760 2429540 2915448 3118020 3457140 3644310 4859080 6236040 6914280 7288620 14577240 19071889 38143778 57215667 76287556 95359445 114431334 152575112 190718890 228862668 286078335 381437780 457725336 572156670 762875560 1144313340 2288626680