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332232130032 = 243113079204361
BaseRepresentation
bin1001101010110101001…
…00111111110111110000
31011202112211100212212220
410311122210333313300
520420402411130112
6412343023321040
733001010340045
oct4653244776760
91152484325786
10332232130032
111189984156a0
125447ba50180
13254387949ba
1412119bcd1cc
15899724e98c
hex4d5a93fdf0

332232130032 has 80 divisors (see below), whose sum is σ = 936599220480. Its totient is φ = 100643212800.

The previous prime is 332232130031. The next prime is 332232130033. The reversal of 332232130032 is 230031232233.

It is an interprime number because it is at equal distance from previous prime (332232130031) and next prime (332232130033).

It is a super-2 number, since 2×3322321300322 (a number of 24 digits) contains 22 as substring.

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 = 332232129984 and 332232130011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332232130031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1523532 + ... + 1727892.

It is an arithmetic number, because the mean of its divisors is an integer number (11707490256).

Almost surely, 2332232130032 is an apocalyptic number.

It is an amenable number.

332232130032 is an abundant number, since it is smaller than the sum of its proper divisors (604367090448).

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

332232130032 is a wasteful number, since it uses less digits than its factorization.

332232130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207462 (or 207456 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 332232130032 its reverse (230031232233), we get a palindrome (562263362265).

It can be divided in two parts, 332232 and 130032, that added together give a palindrome (462264).

The spelling of 332232130032 in words is "three hundred thirty-two billion, two hundred thirty-two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3079 6158 9237 12316 18474 24632 33869 36948 49264 67738 73896 101607 135476 147792 203214 204361 270952 406428 408722 541904 613083 812856 817444 1226166 1625712 1634888 2247971 2452332 3269776 4495942 4904664 6743913 8991884 9809328 13487826 17983768 26975652 35967536 53951304 107902608 629227519 1258455038 1887682557 2516910076 3775365114 5033820152 6921502709 7550730228 10067640304 13843005418 15101460456 20764508127 27686010836 30202920912 41529016254 55372021672 83058032508 110744043344 166116065016 332232130032