Search a number
-
+
403002228412 = 227172696774649
BaseRepresentation
bin1011101110101001100…
…11011111111010111100
31102112012220210101010201
411313110303133322330
523100322032302122
6505045304213244
741054525264350
oct5672463377274
91375186711121
10403002228412
11145a04285003
126613076a224
132c006622c64
1415710bc9460
15a73a27ca27
hex5dd4cdfebc

403002228412 has 96 divisors (see below), whose sum is σ = 858038832000. Its totient is φ = 161677221888.

The previous prime is 403002228379. The next prime is 403002228413. The reversal of 403002228412 is 214822200304.

It is a super-2 number, since 2×4030022284122 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403002228413) 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, 86683464 + ... + 86688112.

It is an arithmetic number, because the mean of its divisors is an integer number (8937904500).

Almost surely, 2403002228412 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 403002228412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429019416000).

403002228412 is an abundant number, since it is smaller than the sum of its proper divisors (455036603588).

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

403002228412 is a wasteful number, since it uses less digits than its factorization.

403002228412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 403002228412 its reverse (214822200304), we get a palindrome (617824428716).

The spelling of 403002228412 in words is "four hundred three billion, two million, two hundred twenty-eight thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 269 476 538 677 1076 1354 1883 2708 3766 4573 4649 4739 7532 9146 9298 9478 11509 18292 18596 18956 23018 32011 32543 46036 64022 65086 79033 80563 128044 130172 158066 161126 182113 316132 322252 364226 553231 728452 1106462 1250581 1274791 2212924 2501162 2549582 3095921 3147373 5002324 5099164 6191842 6294746 8754067 12383684 12589492 17508134 21259877 21671447 22031611 35016268 42519754 43342894 44063222 53505341 85039508 86685788 88126444 107010682 148819139 214021364 297638278 374537387 595276556 749074774 846643337 1498149548 1693286674 3386573348 5926503359 11853006718 14392936729 23706013436 28785873458 57571746916 100750557103 201501114206 403002228412