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2133030024 = 233412725919
BaseRepresentation
bin111111100100011…
…0111010010001000
312111122200011010000
41333020313102020
513332023430044
6551354123000
7103600312266
oct17710672210
95448604100
102133030024
119a5049034
124b6420460
1327cbb4058
14163407436
15c73ddd69
hex7f237488

2133030024 has 80 divisors (see below), whose sum is σ = 6021734400. Its totient is φ = 705384288.

The previous prime is 2133030019. The next prime is 2133030037. The reversal of 2133030024 is 4200303312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2133029979 and 2133030006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69337 + ... + 95255.

It is an arithmetic number, because the mean of its divisors is an integer number (75271680).

Almost surely, 22133030024 is an apocalyptic number.

2133030024 is a gapful number since it is divisible by the number (24) 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 2133030024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010867200).

2133030024 is an abundant number, since it is smaller than the sum of its proper divisors (3888704376).

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

2133030024 is a wasteful number, since it uses less digits than its factorization.

2133030024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26064 (or 26051 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2133030024 is about 46184.7379986073. The cubic root of 2133030024 is about 1287.2581678448.

Adding to 2133030024 its reverse (4200303312), we get a palindrome (6333333336).

The spelling of 2133030024 in words is "two billion, one hundred thirty-three million, thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10287 13716 20574 25919 27432 41148 51838 77757 82296 103676 155514 207352 233271 311028 466542 622056 699813 933084 1399626 1866168 2099439 2799252 3291713 4198878 5598504 6583426 8397756 9875139 13166852 16795512 19750278 26333704 29625417 39500556 59250834 79001112 88876251 118501668 177752502 237003336 266628753 355505004 533257506 711010008 1066515012 2133030024