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2327153140 = 2251329308641
BaseRepresentation
bin1000101010110101…
…1000100111110100
320000011221121222001
42022231120213310
514231222400030
61022530545044
7111445322014
oct21255304764
96004847861
102327153140
11a94687664
1254b438184
132b11913c0
141810d9c44
15d9486cca
hex8ab589f4

2327153140 has 48 divisors (see below), whose sum is σ = 5444444880. Its totient is φ = 829624320.

The previous prime is 2327153113. The next prime is 2327153197. The reversal of 2327153140 is 413517232.

2327153140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 422878096 + 1904275044 = 20564^2 + 43638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2327153099 and 2327153108.

It is a congruent number.

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, 146781 + ... + 161860.

It is an arithmetic number, because the mean of its divisors is an integer number (113425935).

Almost surely, 22327153140 is an apocalyptic number.

2327153140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2327153140 is an abundant number, since it is smaller than the sum of its proper divisors (3117291740).

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

2327153140 is a wasteful number, since it uses less digits than its factorization.

2327153140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308692 (or 308690 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2327153140 is about 48240.5756599152. The cubic root of 2327153140 is about 1325.1803509105.

The spelling of 2327153140 in words is "two billion, three hundred twenty-seven million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 308641 617282 1234564 1543205 3086410 4012333 6172820 8024666 8950589 16049332 17901178 20061665 35802356 40123330 44752945 80246660 89505890 116357657 179011780 232715314 465430628 581788285 1163576570 2327153140