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5022281232 = 24353141669
BaseRepresentation
bin1001010110101100…
…11110111000010000
3110222000022022200000
410223112132320100
540241200444412
62150204530000
7235312454223
oct45326367020
913860268600
105022281232
112147a46251
12b81b50900
13620660457
143590215ba
151e5da84dc
hex12b59ee10

5022281232 has 120 divisors (see below), whose sum is σ = 15046536960. Its totient is φ = 1620051840.

The previous prime is 5022281227. The next prime is 5022281233. The reversal of 5022281232 is 2321822205.

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

It is a junction number, because it is equal to n+sod(n) for n = 5022281196 and 5022281205.

It is not an unprimeable number, because it can be changed into a prime (5022281233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99694 + ... + 141362.

It is an arithmetic number, because the mean of its divisors is an integer number (125387808).

Almost surely, 25022281232 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 5022281232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523268480).

5022281232 is an abundant number, since it is smaller than the sum of its proper divisors (10024255728).

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

5022281232 is a wasteful number, since it uses less digits than its factorization.

5022281232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41723 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5022281232 is about 70868.0550883118. The cubic root of 5022281232 is about 1712.5122077166.

The spelling of 5022281232 in words is "five billion, twenty-two million, two hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4464 5022 6696 7533 10044 13392 15066 20088 30132 40176 41669 60264 83338 120528 125007 166676 250014 333352 375021 500028 666704 750042 1000056 1125063 1291739 1500084 2000112 2250126 2583478 3000168 3375189 3875217 4500252 5166956 6000336 6750378 7750434 9000504 10125567 10333912 11625651 13500756 15500868 18001008 20251134 20667824 23251302 27001512 31001736 34876953 40502268 46502604 54003024 62003472 69753906 81004536 93005208 104630859 139507812 162009072 186010416 209261718 279015624 313892577 418523436 558031248 627785154 837046872 1255570308 1674093744 2511140616 5022281232