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233303230220 = 225195383913807
BaseRepresentation
bin1101100101000111110…
…1001100011100001100
3211022012022012001212112
43121101331030130030
512310301111331340
6255102241523152
722566320510444
oct3312175143414
9738168161775
10233303230220
118aa41655a65
12392709434b8
1319000b57968
14b413107124
15610708d065
hex3651f4c70c

233303230220 has 96 divisors (see below), whose sum is σ = 526117939200. Its totient is φ = 86631876864.

The previous prime is 233303230189. The next prime is 233303230283. The reversal of 233303230220 is 22032303332.

233303230220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 16890557 + ... + 16904363.

It is an arithmetic number, because the mean of its divisors is an integer number (5480395200).

Almost surely, 2233303230220 is an apocalyptic number.

233303230220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233303230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263058969600).

233303230220 is an abundant number, since it is smaller than the sum of its proper divisors (292814708980).

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

233303230220 is a wasteful number, since it uses less digits than its factorization.

233303230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14727 (or 14725 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 233303230220 its reverse (22032303332), we get a palindrome (255335533552).

The spelling of 233303230220 in words is "two hundred thirty-three billion, three hundred three million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 839 1007 1060 1678 2014 3356 4028 4195 5035 8390 10070 13807 15941 16780 20140 27614 31882 44467 55228 63764 69035 79705 88934 138070 159410 177868 222335 262333 276140 318820 444670 524666 731771 844873 889340 1049332 1311665 1463542 1689746 2623330 2927084 3379492 3658855 4224365 5246660 7317710 8448730 11584073 13903649 14635420 16897460 23168146 27807298 46336292 55614596 57920365 69518245 115840730 139036490 220097387 231681460 278072980 440194774 613955869 880389548 1100486935 1227911738 2200973870 2455823476 3069779345 4401947740 6139558690 11665161511 12279117380 23330323022 46660646044 58325807555 116651615110 233303230220