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2232434032 = 241945716069
BaseRepresentation
bin1000010100010000…
…0011110101110000
312202120201101202221
42011010003311300
514033000342112
61005304450424
7106215243013
oct20504036560
95676641687
102232434032
11a46172804
12523779a14
132976794aa
141726c137a
15d0ec6e07
hex85103d70

2232434032 has 40 divisors (see below), whose sum is σ = 4563237200. Its totient is φ = 1055089152.

The previous prime is 2232434021. The next prime is 2232434069. The reversal of 2232434032 is 2304342322.

It is a super-3 number, since 3×22324340323 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232433988 and 2232434006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130894 + ... + 146962.

It is an arithmetic number, because the mean of its divisors is an integer number (114080930).

Almost surely, 22232434032 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 2232434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281618600).

2232434032 is an abundant number, since it is smaller than the sum of its proper divisors (2330803168).

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

2232434032 is a wasteful number, since it uses less digits than its factorization.

2232434032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16553 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2232434032 is about 47248.6405307073. The cubic root of 2232434032 is about 1306.9517205163.

Adding to 2232434032 its reverse (2304342322), we get a palindrome (4536776354).

The spelling of 2232434032 in words is "two billion, two hundred thirty-two million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 457 914 1828 3656 7312 8683 16069 17366 32138 34732 64276 69464 128552 138928 257104 305311 610622 1221244 2442488 4884976 7343533 14687066 29374132 58748264 117496528 139527127 279054254 558108508 1116217016 2232434032