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332201144 = 231122343347
BaseRepresentation
bin10011110011001…
…111110010111000
3212011002120022002
4103303033302320
51140020414034
652544120132
711142443312
oct2363176270
9764076262
10332201144
11160578700
1293306048
1353a93932
14321967b2
151e26ee7e
hex13ccfcb8

332201144 has 96 divisors (see below), whose sum is σ = 733138560. Its totient is φ = 140669760.

The previous prime is 332201141. The next prime is 332201159. The reversal of 332201144 is 441102233.

It is a super-2 number, since 2×3322011442 = 220715200149817472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332201141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957179 + ... + 957525.

It is an arithmetic number, because the mean of its divisors is an integer number (7636860).

Almost surely, 2332201144 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 332201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366569280).

332201144 is an abundant number, since it is smaller than the sum of its proper divisors (400937416).

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

332201144 is a wasteful number, since it uses less digits than its factorization.

332201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 332201144 is about 18226.3859280989. The cubic root of 332201144 is about 692.5753676437.

Adding to 332201144 its reverse (441102233), we get a palindrome (773303377).

The spelling of 332201144 in words is "three hundred thirty-two million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 43 44 46 86 88 92 121 172 184 242 253 344 347 473 484 506 694 946 968 989 1012 1388 1892 1978 2024 2776 2783 3784 3817 3956 5203 5566 7634 7912 7981 10406 10879 11132 14921 15268 15962 20812 21758 22264 29842 30536 31924 41624 41987 43516 59684 63848 83974 87032 87791 119368 119669 164131 167948 175582 239338 328262 335896 343183 351164 478676 656524 686366 702328 957352 965701 1313048 1372732 1805441 1931402 2745464 3610882 3775013 3862804 7221764 7550026 7725608 14443528 15100052 30200104 41525143 83050286 166100572 332201144