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2145331232 = 251141433457
BaseRepresentation
bin111111111011111…
…0010100000100000
312112111211010012022
41333313302200200
513343201044412
6552513521012
7104110005002
oct17767624040
95474733168
102145331232
11a00a90120
124ba573168
13282600185
14164cca372
15c851da72
hex7fdf2820

2145331232 has 96 divisors (see below), whose sum is σ = 4831130304. Its totient is φ = 928972800.

The previous prime is 2145331207. The next prime is 2145331247. The reversal of 2145331232 is 2321335412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618848 + ... + 622304.

It is an arithmetic number, because the mean of its divisors is an integer number (50324274).

Almost surely, 22145331232 is an apocalyptic number.

2145331232 is a gapful number since it is divisible by the number (22) 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 2145331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415565152).

2145331232 is an abundant number, since it is smaller than the sum of its proper divisors (2685799072).

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

2145331232 is a wasteful number, since it uses less digits than its factorization.

2145331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3554 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 2145331232 is about 46317.7204965875. The cubic root of 2145331232 is about 1289.7279702020.

Adding to 2145331232 its reverse (2321335412), we get a palindrome (4466666644).

The spelling of 2145331232 in words is "two billion, one hundred forty-five million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 43 44 82 86 88 164 172 176 328 344 352 451 473 656 688 902 946 1312 1376 1763 1804 1892 3457 3526 3608 3784 6914 7052 7216 7568 13828 14104 14432 15136 19393 27656 28208 38027 38786 55312 56416 76054 77572 110624 141737 148651 152108 155144 283474 297302 304216 310288 566948 594604 608432 620576 1133896 1189208 1216864 1559107 1635161 2267792 2378416 3118214 3270322 4535584 4756832 6094691 6236428 6540644 12189382 12472856 13081288 24378764 24945712 26162576 48757528 49891424 52325152 67041601 97515056 134083202 195030112 268166404 536332808 1072665616 2145331232