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221301132234 = 237132337476279
BaseRepresentation
bin1100111000011010010…
…0110100101111001010
3210011012212010022121220
43032012210310233022
512111211042212414
6245355255142510
721663022405230
oct3160644645712
9704185108556
10221301132234
11859427a1116
1236a81374a36
1317b3a43a230
14a9d5100950
155b53555ca9
hex3386934bca

221301132234 has 128 divisors (see below), whose sum is σ = 583789731840. Its totient is φ = 54318553344.

The previous prime is 221301132223. The next prime is 221301132329. The reversal of 221301132234 is 432231103122.

221301132234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213011322342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226507 + ... + 702785.

It is an arithmetic number, because the mean of its divisors is an integer number (4560857280).

Almost surely, 2221301132234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221301132234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291894865920).

221301132234 is an abundant number, since it is smaller than the sum of its proper divisors (362488599606).

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

221301132234 is a wasteful number, since it uses less digits than its factorization.

221301132234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476364.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221301132234 its reverse (432231103122), we get a palindrome (653532235356).

The spelling of 221301132234 in words is "two hundred twenty-one billion, three hundred one million, one hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 37 39 42 46 69 74 78 91 111 138 161 182 222 259 273 299 322 481 483 518 546 598 777 851 897 962 966 1443 1554 1702 1794 2093 2553 2886 3367 4186 5106 5957 6279 6734 10101 11063 11914 12558 17871 20202 22126 33189 35742 66378 77441 154882 232323 464646 476279 952558 1428837 2857674 3333953 6191627 6667906 10001859 10954417 12383254 17622323 18574881 20003718 21908834 32863251 35244646 37149762 43341389 52866969 65726502 76680919 86682778 105733938 123356261 130024167 142407421 153361838 229090199 230042757 246712522 260048334 284814842 370068783 405313429 427222263 458180398 460085514 687270597 740137566 810626858 854444526 996851947 1215940287 1374541194 1603631393 1993703894 2431880574 2837194003 2990555841 3207262786 4810894179 5269074577 5674388006 5981111682 8511582009 9621788358 10538149154 15807223731 17023164018 31614447462 36883522039 73767044078 110650566117 221301132234