Search a number
-
+
233221045300 = 225247360713757
BaseRepresentation
bin1101100100110100001…
…1101011110000110100
3211021222120112122100121
43121031003223300310
512310114041422200
6255050144221324
722564302114325
oct3311503536064
9737876478317
10233221045300
118a9aa222241
123924930a844
1318cb9b10c29
14b40623244c
1560eec56e1a
hex364d0ebc34

233221045300 has 72 divisors (see below), whose sum is σ = 517038407424. Its totient is φ = 91271610240.

The previous prime is 233221045243. The next prime is 233221045367. The reversal of 233221045300 is 3540122332.

233221045300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 16946022 + ... + 16959778.

It is an arithmetic number, because the mean of its divisors is an integer number (7181088992).

Almost surely, 2233221045300 is an apocalyptic number.

233221045300 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 233221045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258519203712).

233221045300 is an abundant number, since it is smaller than the sum of its proper divisors (283817362124).

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

233221045300 is a wasteful number, since it uses less digits than its factorization.

233221045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17425 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 233221045300 its reverse (3540122332), we get a palindrome (236761167632).

The spelling of 233221045300 in words is "two hundred thirty-three billion, two hundred twenty-one million, forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 3607 4700 7214 13757 14428 18035 27514 36070 55028 68785 72140 90175 137570 169529 180350 275140 339058 343925 360700 646579 678116 687850 847645 1293158 1375700 1695290 2586316 3232895 3390580 4238225 6465790 8476450 12931580 16164475 16952900 32328950 49621499 64657900 99242998 198485996 248107495 496214990 992429980 1240537475 2332210453 2481074950 4664420906 4962149900 9328841812 11661052265 23322104530 46644209060 58305261325 116610522650 233221045300