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33465230000 = 245423145501
BaseRepresentation
bin11111001010101011…
…101110001010110000
310012101020201211021222
4133022223232022300
51022014044330000
623212420004212
72263204522136
oct371253561260
9105336654258
1033465230000
1113213282684
12659b530668
133204279557
141896755756
15d0ce68a85
hex7caaee2b0

33465230000 has 100 divisors (see below), whose sum is σ = 84545974128. Its totient is φ = 12804000000.

The previous prime is 33465229999. The next prime is 33465230003. The reversal of 33465230000 is 3256433.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×334652300002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33465230003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 157250 + ... + 302750.

Almost surely, 233465230000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33465230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42272987064).

33465230000 is an abundant number, since it is smaller than the sum of its proper divisors (51080744128).

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

33465230000 is a wasteful number, since it uses less digits than its factorization.

33465230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145552 (or 145531 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 33465230000 its reverse (3256433), we get a palindrome (33468486433).

The spelling of 33465230000 in words is "thirty-three billion, four hundred sixty-five million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 115000 145501 230000 291002 582004 727505 1164008 1455010 2328016 2910020 3346523 3637525 5820040 6693046 7275050 11640080 13386092 14550100 16732615 18187625 26772184 29100200 33465230 36375250 53544368 58200400 66930460 72750500 83663075 90938125 133860920 145501000 167326150 181876250 267721840 291002000 334652300 363752500 418315375 669304600 727505000 836630750 1338609200 1455010000 1673261500 2091576875 3346523000 4183153750 6693046000 8366307500 16732615000 33465230000