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2339133420 = 22351310728027
BaseRepresentation
bin1000101101101100…
…0101011111101100
320001000111021211010
42023123011133230
514242304232140
61024035425220
7111652206651
oct21333053754
96030437733
102339133420
11aa041a618
12553455210
132b37c7420
14182937c28
15da551880
hex8b6c57ec

2339133420 has 96 divisors (see below), whose sum is σ = 7119560448. Its totient is φ = 570385152.

The previous prime is 2339133383. The next prime is 2339133439. The reversal of 2339133420 is 243319332.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 69447 + ... + 97473.

It is an arithmetic number, because the mean of its divisors is an integer number (74162088).

Almost surely, 22339133420 is an apocalyptic number.

2339133420 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 2339133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559780224).

2339133420 is an abundant number, since it is smaller than the sum of its proper divisors (4780427028).

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

2339133420 is a wasteful number, since it uses less digits than its factorization.

2339133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28159 (or 28157 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 2339133420 is about 48364.5884919948. The cubic root of 2339133420 is about 1327.4504874054.

The spelling of 2339133420 in words is "two billion, three hundred thirty-nine million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 195 214 260 321 390 428 535 642 780 1070 1284 1391 1605 2140 2782 3210 4173 5564 6420 6955 8346 13910 16692 20865 27820 28027 41730 56054 83460 84081 112108 140135 168162 280270 336324 364351 420405 560540 728702 840810 1093053 1457404 1681620 1821755 2186106 2998889 3643510 4372212 5465265 5997778 7287020 8996667 10930530 11995556 14994445 17993334 21861060 29988890 35986668 38985557 44983335 59977780 77971114 89966670 116956671 155942228 179933340 194927785 233913342 389855570 467826684 584783355 779711140 1169566710 2339133420