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2283416720 = 245136193547
BaseRepresentation
bin1000100000011010…
…0010110010010000
312220010122120212122
42020012202302100
514134023313340
61014325313412
7110404502414
oct21006426220
95803576778
102283416720
11a71a24862
12538865868
132a50b9c70
14179392d44
15d56e7db5
hex881a2c90

2283416720 has 80 divisors (see below), whose sum is σ = 5728175040. Its totient is φ = 841508352.

The previous prime is 2283416717. The next prime is 2283416743. The reversal of 2283416720 is 276143822.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641987 + ... + 645533.

It is an arithmetic number, because the mean of its divisors is an integer number (71602188).

Almost surely, 22283416720 is an apocalyptic number.

2283416720 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 2283416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864087520).

2283416720 is an abundant number, since it is smaller than the sum of its proper divisors (3444758320).

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

2283416720 is a wasteful number, since it uses less digits than its factorization.

2283416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2283416720 is about 47785.1098146693. The cubic root of 2283416720 is about 1316.8259982013.

The spelling of 2283416720 in words is "two billion, two hundred eighty-three million, four hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 619 1040 1238 2476 3095 3547 4952 6190 7094 8047 9904 12380 14188 16094 17735 24760 28376 32188 35470 40235 46111 49520 56752 64376 70940 80470 92222 128752 141880 160940 184444 230555 283760 321880 368888 461110 643760 737776 922220 1844440 2195593 3688880 4391186 8782372 10977965 17564744 21955930 28542709 35129488 43911860 57085418 87823720 114170836 142713545 175647440 228341672 285427090 456683344 570854180 1141708360 2283416720