Search a number
-
+
31302233000 = 235341974707
BaseRepresentation
bin11101001001110000…
…100010101110101000
32222210111200012012222
4131021300202232220
51003101332424000
622214031253212
72155461406343
oct351160425650
988714605188
1031302233000
1112303326a55
12609707a208
132c4b10257c
14172d38b45a
15c3310aa85
hex749c22ba8

31302233000 has 64 divisors (see below), whose sum is σ = 73423022400. Its totient is φ = 12490843200.

The previous prime is 31302232967. The next prime is 31302233003. The reversal of 31302233000 is 33220313.

It is a self number, because there is not a number n which added to its sum of digits gives 31302233000.

It is not an unprimeable number, because it can be changed into a prime (31302233003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381647 + ... + 456353.

It is an arithmetic number, because the mean of its divisors is an integer number (1147234725).

Almost surely, 231302233000 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 31302233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36711511200).

31302233000 is an abundant number, since it is smaller than the sum of its proper divisors (42120789400).

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

31302233000 is a wasteful number, since it uses less digits than its factorization.

31302233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75147 (or 75133 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 31302233000 its reverse (33220313), we get a palindrome (31335453313).

The spelling of 31302233000 in words is "thirty-one billion, three hundred two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 419 500 838 1000 1676 2095 3352 4190 8380 10475 16760 20950 41900 52375 74707 83800 104750 149414 209500 298828 373535 419000 597656 747070 1494140 1867675 2988280 3735350 7470700 9338375 14941400 18676750 31302233 37353500 62604466 74707000 125208932 156511165 250417864 313022330 626044660 782555825 1252089320 1565111650 3130223300 3912779125 6260446600 7825558250 15651116500 31302233000