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2332008028 = 2273713117183
BaseRepresentation
bin1000101011111111…
…1001111001011100
320000112002021121201
42022333321321130
514233443224103
61023223005244
7111534512140
oct21277717134
96015067551
102332008028
11a973a3169
12550b99824
132b21a110c
14181a01220
15d9ae551d
hex8aff9e5c

2332008028 has 48 divisors (see below), whose sum is σ = 4826916864. Its totient is φ = 964941120.

The previous prime is 2332008017. The next prime is 2332008043. The reversal of 2332008028 is 8208002332.

It is a super-2 number, since 2×23320080282 = 10876522885312897568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2332007987 and 2332008005.

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, 127125 + ... + 144307.

It is an arithmetic number, because the mean of its divisors is an integer number (100560768).

Almost surely, 22332008028 is an apocalyptic number.

2332008028 is a gapful number since it is divisible by the number (28) 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 2332008028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413458432).

2332008028 is an abundant number, since it is smaller than the sum of its proper divisors (2494908836).

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

2332008028 is a wasteful number, since it uses less digits than its factorization.

2332008028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17362 (or 17360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2332008028 is about 48290.8689919740. The cubic root of 2332008028 is about 1326.1012376571.

The spelling of 2332008028 in words is "two billion, three hundred thirty-two million, eight thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 37 74 131 148 259 262 518 524 917 1036 1834 3668 4847 9694 17183 19388 33929 34366 67858 68732 120281 135716 240562 481124 635771 1271542 2250973 2543084 4450397 4501946 8900794 9003892 15756811 17801588 31513622 63027244 83286001 166572002 333144004 583002007 1166004014 2332008028