Search a number
-
+
223331002000 = 2453111665501
BaseRepresentation
bin1100111111111110010…
…0001010011010010000
3210100110022200101110121
43033333210022122100
512124340214031000
6250332530240024
722064231124001
oct3177744123220
9710408611417
10223331002000
118679458a337
1237349126014
13180a1b421c2
14ab489331a8
155c21868b1a
hex33ff90a690

223331002000 has 40 divisors (see below), whose sum is σ = 540014367672. Its totient is φ = 89332400000.

The previous prime is 223331001961. The next prime is 223331002049. The reversal of 223331002000 is 200133322.

It can be written as a sum of positive squares in 4 ways, for example, as 11395989504 + 211935012496 = 106752^2 + 460364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55830751 + ... + 55834750.

Almost surely, 2223331002000 is an apocalyptic number.

223331002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223331002000 is an abundant number, since it is smaller than the sum of its proper divisors (316683365672).

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

223331002000 is a wasteful number, since it uses less digits than its factorization.

223331002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111665524 (or 111665508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 223331002000 its reverse (200133322), we get a palindrome (223531135322).

The spelling of 223331002000 in words is "two hundred twenty-three billion, three hundred thirty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 111665501 223331002 446662004 558327505 893324008 1116655010 1786648016 2233310020 2791637525 4466620040 5583275050 8933240080 11166550100 13958187625 22333100200 27916375250 44666200400 55832750500 111665501000 223331002000