Search a number
-
+
2652213000 = 233536011471
BaseRepresentation
bin1001111000010101…
…1000111100001000
320211211121101021010
42132011120330020
520412431304000
61115102043520
7122503303263
oct23605307410
96754541233
102652213000
111141117978
126202795a0
13333624708
141b2353cda
15107c95d50
hex9e158f08

2652213000 has 128 divisors (see below), whose sum is σ = 8294307840. Its totient is φ = 705600000.

The previous prime is 2652212999. The next prime is 2652213037. The reversal of 2652213000 is 3122562.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1802265 + ... + 1803735.

It is an arithmetic number, because the mean of its divisors is an integer number (64799280).

Almost surely, 22652213000 is an apocalyptic number.

2652213000 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 2652213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147153920).

2652213000 is an abundant number, since it is smaller than the sum of its proper divisors (5642094840).

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

2652213000 is a wasteful number, since it uses less digits than its factorization.

2652213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2652213000 is about 51499.6407754462. The cubic root of 2652213000 is about 1384.2126053040.

Adding to 2652213000 its reverse (3122562), we get a palindrome (2655335562).

The spelling of 2652213000 in words is "two billion, six hundred fifty-two million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 601 750 1000 1202 1471 1500 1803 2404 2942 3000 3005 3606 4413 4808 5884 6010 7212 7355 8826 9015 11768 12020 14424 14710 15025 17652 18030 22065 24040 29420 30050 35304 36060 36775 44130 45075 58840 60100 72120 73550 75125 88260 90150 110325 120200 147100 150250 176520 180300 183875 220650 225375 294200 300500 360600 367750 441300 450750 551625 601000 735500 882600 884071 901500 1103250 1471000 1768142 1803000 2206500 2652213 3536284 4413000 4420355 5304426 7072568 8840710 10608852 13261065 17681420 21217704 22101775 26522130 35362840 44203550 53044260 66305325 88407100 106088520 110508875 132610650 176814200 221017750 265221300 331526625 442035500 530442600 663053250 884071000 1326106500 2652213000