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332100054 = 2331113291483
BaseRepresentation
bin10011110010110…
…111000111010110
3212010220102122000
4103302313013112
51140004200204
652542020130
711141542506
oct2362670726
9763812560
10332100054
11160509760
1293277646
1353a59910
143216ba06
151e250039
hex13cb71d6

332100054 has 128 divisors (see below), whose sum is σ = 897523200. Its totient is φ = 89631360.

The previous prime is 332100037. The next prime is 332100077. The reversal of 332100054 is 450001233.

It is a super-2 number, since 2×3321000542 = 220580891733605832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 223197 + ... + 224679.

It is an arithmetic number, because the mean of its divisors is an integer number (7011900).

Almost surely, 2332100054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332100054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448761600).

332100054 is an abundant number, since it is smaller than the sum of its proper divisors (565423146).

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

332100054 is a wasteful number, since it uses less digits than its factorization.

332100054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 332100054 is about 18223.6125397793. The cubic root of 332100054 is about 692.5051094602.

Adding to 332100054 its reverse (450001233), we get a palindrome (782101287).

The spelling of 332100054 in words is "three hundred thirty-two million, one hundred thousand, fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 29 33 39 54 58 66 78 87 99 117 143 174 198 234 261 286 297 319 351 377 429 522 594 638 702 754 783 858 957 1131 1287 1483 1566 1914 2262 2574 2871 2966 3393 3861 4147 4449 5742 6786 7722 8294 8613 8898 10179 12441 13347 16313 17226 19279 20358 24882 26694 32626 37323 38558 40041 43007 48939 57837 74646 80082 86014 97878 111969 115674 129021 146817 173511 212069 223938 258042 293634 347022 387063 424138 440451 473077 520533 559091 636207 774126 880902 946154 1041066 1118182 1161189 1272414 1419231 1677273 1908621 2322378 2838462 3354546 3817242 4257693 5031819 5725863 6150001 8515386 10063638 11451726 12300002 12773079 15095457 18450003 25546158 30190914 36900006 55350009 110700018 166050027 332100054