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2331024332 = 2271323416791
BaseRepresentation
bin1000101011110000…
…1001101111001100
320000110020022020112
42022330021233030
514233220234312
61023145535152
7111523244210
oct21274115714
96013208215
102331024332
11a9689109a
125507a44b8
132b1c18450
14181826940
15d999dd22
hex8af09bcc

2331024332 has 96 divisors (see below), whose sum is σ = 5367527424. Its totient is φ = 860428800.

The previous prime is 2331024331. The next prime is 2331024337. The reversal of 2331024332 is 2334201332.

2331024332 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 (23).

It is a junction number, because it is equal to n+sod(n) for n = 2331024298 and 2331024307.

It is not an unprimeable number, because it can be changed into a prime (2331024331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339857 + ... + 346647.

It is an arithmetic number, because the mean of its divisors is an integer number (55911744).

Almost surely, 22331024332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331024332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683763712).

2331024332 is an abundant number, since it is smaller than the sum of its proper divisors (3036503092).

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

2331024332 is a wasteful number, since it uses less digits than its factorization.

2331024332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 2331024332 is about 48280.6828037881. The cubic root of 2331024332 is about 1325.9147511712.

Adding to 2331024332 its reverse (2334201332), we get a palindrome (4665225664).

The spelling of 2331024332 in words is "two billion, three hundred thirty-one million, twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 23 26 28 41 46 52 82 91 92 161 164 182 287 299 322 364 533 574 598 644 943 1066 1148 1196 1886 2093 2132 3731 3772 4186 6601 6791 7462 8372 12259 13202 13582 14924 24518 26404 27164 47537 49036 85813 88283 95074 156193 171626 176566 190148 278431 312386 343252 353132 556862 617981 624772 1093351 1113724 1235962 1949017 2030509 2186702 2471924 3619603 3898034 4061018 4373404 6403913 7239206 7796068 8122036 12807826 14213563 14478412 25337221 25615652 28427126 44827391 50674442 56854252 83250869 89654782 101348884 166501738 179309564 333003476 582756083 1165512166 2331024332