Search a number
-
+
332213303032000 = 2653133194358683
BaseRepresentation
bin100101110001001010110111…
…1111010101011100011000000
31121120021021121021202221000121
41023202111233322223203000
5322020440321034011000
63134320403504430024
7126655422226424245
oct11342255772534300
91546237537687017
10332213303032000
1196942963862385
12313151b7018314
131134a7704b9160
145c072d14415cc
15286196c8e8b1a
hex12e256feab8c0

332213303032000 has 112 divisors (see below), whose sum is σ = 886012879463712. Its totient is φ = 122663373388800.

The previous prime is 332213303031989. The next prime is 332213303032103. The reversal of 332213303032000 is 230303312233.

It is a super-2 number, since 2×3322133030320002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597075342 + ... + 1597283341.

It is an arithmetic number, because the mean of its divisors is an integer number (7910829280926).

Almost surely, 2332213303032000 is an apocalyptic number.

It is an amenable number.

332213303032000 is an abundant number, since it is smaller than the sum of its proper divisors (553799576431712).

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

332213303032000 is a wasteful number, since it uses less digits than its factorization.

332213303032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194358723 (or 3194358703 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 332213303032000 its reverse (230303312233), we get a palindrome (332443606344233).

The spelling of 332213303032000 in words is "three hundred thirty-two trillion, two hundred thirteen billion, three hundred three million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 3194358683 6388717366 12777434732 15971793415 25554869464 31943586830 41526662879 51109738928 63887173660 79858967075 83053325758 102219477856 127774347320 159717934150 166106651516 204438955712 207633314395 255548694640 319435868300 332213303032 399294835375 415266628790 511097389280 638871736600 664426606064 798589670750 830533257580 1022194778560 1038166571975 1277743473200 1328853212128 1597179341500 1661066515160 2076333143950 2555486946400 2657706424256 3194358683000 3322133030320 4152666287900 5110973892800 5190832859875 6388717366000 6644266060640 8305332575800 10381665719750 12777434732000 13288532121280 16610665151600 20763331439500 25554869464000 33221330303200 41526662879000 66442660606400 83053325758000 166106651516000 332213303032000