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2150816112 = 2433192311393
BaseRepresentation
bin1000000000110010…
…1101100101110000
312112220010210001000
42000030231211300
513401102103422
6553231242000
7104204430624
oct20014554560
95486123030
102150816112
11a04096a85
12500379300
132837a0873
14165917184
15c8c53cac
hex8032d970

2150816112 has 160 divisors (see below), whose sum is σ = 6781708800. Its totient is φ = 649617408.

The previous prime is 2150816069. The next prime is 2150816119. The reversal of 2150816112 is 2116180512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150816119) 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, 183088 + ... + 194480.

It is an arithmetic number, because the mean of its divisors is an integer number (42385680).

Almost surely, 22150816112 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 2150816112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390854400).

2150816112 is an abundant number, since it is smaller than the sum of its proper divisors (4630892688).

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

2150816112 is a wasteful number, since it uses less digits than its factorization.

2150816112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11452 (or 11440 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 2150816112 is about 46376.8920045317. The cubic root of 2150816112 is about 1290.8261662890.

Adding to 2150816112 its reverse (2116180512), we get a palindrome (4266996624).

The spelling of 2150816112 in words is "two billion, one hundred fifty million, eight hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 27 36 38 46 48 54 57 69 72 76 92 108 114 138 144 152 171 184 207 216 228 276 304 342 368 414 432 437 456 513 552 621 684 828 874 912 1026 1104 1242 1311 1368 1656 1748 2052 2484 2622 2736 3312 3496 3933 4104 4968 5244 6992 7866 8208 9936 10488 11393 11799 15732 20976 22786 23598 31464 34179 45572 47196 62928 68358 91144 94392 102537 136716 182288 188784 205074 216467 262039 273432 307611 410148 432934 524078 546864 615222 649401 786117 820296 865868 1048156 1230444 1298802 1572234 1640592 1731736 1948203 2096312 2358351 2460888 2597604 3144468 3463472 3896406 4192624 4716702 4921776 4978741 5195208 5844609 6288936 7075053 7792812 9433404 9957482 10390416 11689218 12577872 14150106 14936223 15585624 18866808 19914964 23378436 28300212 29872446 31171248 37733616 39829928 44808669 46756872 56600424 59744892 79659856 89617338 93513744 113200848 119489784 134426007 179234676 238979568 268852014 358469352 537704028 716938704 1075408056 2150816112