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2334530020 = 22531103139263
BaseRepresentation
bin1000101100100110…
…0001100111100100
320000200211102010211
42023021201213210
514240114430040
61023353025204
7111565114654
oct21311414744
96020742124
102334530020
11a98865a59
125519b5204
132b2875014
1418209a364
15d9e428ea
hex8b2619e4

2334530020 has 96 divisors (see below), whose sum is σ = 5166120960. Its totient is φ = 885098880.

The previous prime is 2334530017. The next prime is 2334530053. The reversal of 2334530020 is 200354332.

It is a junction number, because it is equal to n+sod(n) for n = 2334529973 and 2334530000.

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, 8876409 + ... + 8876671.

It is an arithmetic number, because the mean of its divisors is an integer number (53813760).

Almost surely, 22334530020 is an apocalyptic number.

2334530020 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 2334530020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583060480).

2334530020 is an abundant number, since it is smaller than the sum of its proper divisors (2831590940).

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

2334530020 is a wasteful number, since it uses less digits than its factorization.

2334530020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 2334530020 is about 48316.9744499798. The cubic root of 2334530020 is about 1326.5791107704.

Adding to 2334530020 its reverse (200354332), we get a palindrome (2534884352).

The spelling of 2334530020 in words is "two billion, three hundred thirty-four million, five hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 103 124 139 155 206 263 278 310 412 515 526 556 620 695 1030 1052 1315 1390 2060 2630 2780 3193 4309 5260 6386 8153 8618 12772 14317 15965 16306 17236 21545 27089 28634 31930 32612 36557 40765 43090 54178 57268 63860 71585 73114 81530 86180 108356 135445 143170 146228 163060 182785 270890 286340 365570 443827 541780 731140 839759 887654 1133267 1679518 1775308 2219135 2266534 3359036 3765371 4198795 4438270 4533068 5666335 7530742 8397590 8876540 11332670 15061484 16795180 18826855 22665340 37653710 75307420 116726501 233453002 466906004 583632505 1167265010 2334530020