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2331056728 = 23711131717123
BaseRepresentation
bin1000101011110001…
…0001101001011000
320000110021221200101
42022330101221120
514233222303403
61023150345144
7111523440520
oct21274215130
96013257611
102331056728
11a96903470
125507bb1b4
132b1c2a110
14181834680
15d99a871d
hex8af11a58

2331056728 has 128 divisors (see below), whose sum is σ = 6213957120. Its totient is φ = 788981760.

The previous prime is 2331056699. The next prime is 2331056729. The reversal of 2331056728 is 8276501332.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331056729) 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, 127575 + ... + 144697.

It is an arithmetic number, because the mean of its divisors is an integer number (48546540).

Almost surely, 22331056728 is an apocalyptic number.

2331056728 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 2331056728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106978560).

2331056728 is an abundant number, since it is smaller than the sum of its proper divisors (3882900392).

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

2331056728 is a wasteful number, since it uses less digits than its factorization.

2331056728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17177 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2331056728 is about 48281.0182991204. The cubic root of 2331056728 is about 1325.9208935546.

The spelling of 2331056728 in words is "two billion, three hundred thirty-one million, fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 17 22 26 28 34 44 52 56 68 77 88 91 104 119 136 143 154 182 187 221 238 286 308 364 374 442 476 572 616 728 748 884 952 1001 1144 1309 1496 1547 1768 2002 2431 2618 3094 4004 4862 5236 6188 8008 9724 10472 12376 17017 17123 19448 34034 34246 68068 68492 119861 136136 136984 188353 222599 239722 291091 376706 445198 479444 582182 753412 890396 958888 1164364 1318471 1506824 1558193 1780792 2037637 2328728 2448589 2636942 3116386 3202001 3784183 4075274 4897178 5273884 6232772 6404002 7568366 8150548 9794356 10547768 12465544 12808004 15136732 16301096 17140123 19588712 22414007 25616008 26489281 30273464 34280246 41626013 44828014 52978562 68560492 83252026 89656028 105957124 137120984 166504052 179312056 211914248 291382091 333008104 582764182 1165528364 2331056728