Search a number
-
+
33233113320 = 233511174114461
BaseRepresentation
bin11110111100110110…
…010001000011101000
310011210001222002001220
4132330312101003220
51021030134111240
623133404542040
72254355542131
oct367466210350
9104701862056
1033233113320
1113104253a10
126535851920
1331981589c4
1418739b2c88
15ce78b85d0
hex7bcd910e8

33233113320 has 128 divisors (see below), whose sum is σ = 108832913280. Its totient is φ = 8051328000.

The previous prime is 33233113307. The next prime is 33233113327. The reversal of 33233113320 is 2331133233.

It is a super-2 number, since 2×332331133202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33233113327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2290890 + ... + 2305350.

It is an arithmetic number, because the mean of its divisors is an integer number (850257135).

Almost surely, 233233113320 is an apocalyptic number.

33233113320 is a gapful number since it is divisible by the number (30) 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 33233113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54416456640).

33233113320 is an abundant number, since it is smaller than the sum of its proper divisors (75599799960).

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

33233113320 is a wasteful number, since it uses less digits than its factorization.

33233113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16227 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 33233113320 its reverse (2331133233), we get a palindrome (35564246553).

It can be divided in two parts, 3 and 3233113320, that added together give a palindrome (3233113323).

The spelling of 33233113320 in words is "thirty-three billion, two hundred thirty-three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1741 3482 5223 6964 8705 10446 13928 14461 17410 19151 20892 26115 28922 34820 38302 41784 43383 52230 57453 57844 69640 72305 76604 86766 95755 104460 114906 115688 144610 153208 159071 173532 191510 208920 216915 229812 287265 289220 318142 347064 383020 433830 459624 477213 574530 578440 636284 766040 795355 867660 954426 1149060 1272568 1590710 1735320 1908852 2298120 2386065 3181420 3817704 4772130 6362840 9544260 19088520 25176601 50353202 75529803 100706404 125883005 151059606 201412808 251766010 276942611 302119212 377649015 503532020 553885222 604238424 755298030 830827833 1007064040 1107770444 1384713055 1510596060 1661655666 2215540888 2769426110 3021192120 3323311332 4154139165 5538852220 6646622664 8308278330 11077704440 16616556660 33233113320