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2330698140 = 2232517972337
BaseRepresentation
bin1000101011101011…
…1010000110011100
320000102121201210100
42022322322012130
514233124320030
61023134541100
7111520415211
oct21272720634
96012551710
102330698140
11a96689011
12550667790
132b1b32b34
1418177db08
15d9937360
hex8aeba19c

2330698140 has 72 divisors (see below), whose sum is σ = 7109378640. Its totient is φ = 618038784.

The previous prime is 2330698133. The next prime is 2330698163. The reversal of 2330698140 is 418960332.

2330698140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2330698095 and 2330698104.

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, 3949 + ... + 68388.

It is an arithmetic number, because the mean of its divisors is an integer number (98741370).

Almost surely, 22330698140 is an apocalyptic number.

2330698140 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 2330698140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554689320).

2330698140 is an abundant number, since it is smaller than the sum of its proper divisors (4778680500).

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

2330698140 is a wasteful number, since it uses less digits than its factorization.

2330698140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72531 (or 72526 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2330698140 is about 48277.3046057876. The cubic root of 2330698140 is about 1325.8529009717.

The spelling of 2330698140 in words is "two billion, three hundred thirty million, six hundred ninety-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 5370 6444 8055 10740 16110 32220 72337 144674 217011 289348 361685 434022 651033 723370 868044 1085055 1302066 1446740 2170110 2604132 3255165 4340220 6510330 12948323 13020660 25896646 38844969 51793292 64741615 77689938 116534907 129483230 155379876 194224845 233069814 258966460 388449690 466139628 582674535 776899380 1165349070 2330698140