Search a number
-
+
2303030233032 = 2331947157684443
BaseRepresentation
bin100001100000110111010…
…011001000011111001000
322011011112010200122222020
4201200313103020133020
5300213101214424112
64521555242324440
7325250143662144
oct41406723103710
98134463618866
102303030233032
11808789588001
123124141b9720
13139237101579
147d678228224
153ed9170348c
hex218374c87c8

2303030233032 has 128 divisors (see below), whose sum is σ = 6228987955200. Its totient is φ = 707264034048.

The previous prime is 2303030232983. The next prime is 2303030233037. The reversal of 2303030233032 is 2303320303032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2303030232993 and 2303030233011.

It is not an unprimeable number, because it can be changed into a prime (2303030233037) 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, 3022603 + ... + 3707045.

It is an arithmetic number, because the mean of its divisors is an integer number (48663968400).

Almost surely, 22303030233032 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 2303030233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114493977600).

2303030233032 is an abundant number, since it is smaller than the sum of its proper divisors (3925957722168).

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

2303030233032 is a wasteful number, since it uses less digits than its factorization.

2303030233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684675 (or 684671 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 2303030233032 its reverse (2303320303032), we get a palindrome (4606350536064).

The spelling of 2303030233032 in words is "two trillion, three hundred three billion, thirty million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 157 188 228 282 314 376 456 471 564 628 893 942 1128 1256 1786 1884 2679 2983 3572 3768 5358 5966 7144 7379 8949 10716 11932 14758 17898 21432 22137 23864 29516 35796 44274 59032 71592 88548 140201 177096 280402 420603 560804 684443 841206 1121608 1368886 1682412 2053329 2737772 3364824 4106658 5475544 8213316 13004417 16426632 26008834 32168821 39013251 52017668 64337642 78026502 96506463 104035336 107457551 128675284 156053004 193012926 214915102 257350568 312106008 322372653 386025852 429830204 611207599 644745306 772051704 859660408 1222415198 1289490612 1833622797 2041693469 2444830396 2578981224 3667245594 4083386938 4889660792 5050504897 6125080407 7334491188 8166773876 10101009794 12250160814 14668982376 15151514691 16333547752 20202019588 24500321628 30303029382 40404039176 49000643256 60606058764 95959593043 121212117528 191919186086 287878779129 383838372172 575757558258 767676744344 1151515116516 2303030233032