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233033013330 = 235132307149717
BaseRepresentation
bin1101100100000111011…
…0011001100001010010
3211021111110201121222120
43121001312121201102
512304222422411310
6255015350115110
722556526634215
oct3310166314122
9737443647876
10233033013330
118a913074017
12391b634ba96
1318c89b87200
14b3c928777c
1560dd4b3b70
hex3641d99852

233033013330 has 96 divisors (see below), whose sum is σ = 607586785344. Its totient is φ = 57174743808.

The previous prime is 233033013319. The next prime is 233033013331. The reversal of 233033013330 is 33310330332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 233033013330.

It is not an unprimeable number, because it can be changed into a prime (233033013331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1481632 + ... + 1631348.

It is an arithmetic number, because the mean of its divisors is an integer number (6329029014).

Almost surely, 2233033013330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233033013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303793392672).

233033013330 is an abundant number, since it is smaller than the sum of its proper divisors (374553772014).

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

233033013330 is a wasteful number, since it uses less digits than its factorization.

233033013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150060 (or 150047 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 233033013330 its reverse (33310330332), we get a palindrome (266343343662).

The spelling of 233033013330 in words is "two hundred thirty-three billion, thirty-three million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 307 338 390 507 614 845 921 1014 1535 1690 1842 2535 3070 3991 4605 5070 7982 9210 11973 19955 23946 39910 51883 59865 103766 119730 149717 155649 259415 299434 311298 449151 518830 748585 778245 898302 1497170 1556490 1946321 2245755 3892642 4491510 5838963 9731605 11677926 19463210 25302173 29194815 45963119 50604346 58389630 75906519 91926238 126510865 137889357 151813038 229815595 253021730 275778714 379532595 459631190 597520547 689446785 759065190 1195041094 1378893570 1792561641 2987602735 3585123282 5975205470 7767767111 8962808205 15535534222 17925616410 23303301333 38838835555 46606602666 77677671110 116516506665 233033013330