Search a number
-
+
2001233220 = 2235723223929
BaseRepresentation
bin111011101001000…
…0110010101000100
312011110200011212220
41313102012111010
513044303430340
6530325212340
7100410126120
oct16722062504
95143604786
102001233220
1193770a158
1247a2610b0
1325b7b978c
1414dada580
15baa57ed0
hex77486544

2001233220 has 192 divisors, whose sum is σ = 6719569920. Its totient is φ = 435105792.

The previous prime is 2001233207. The next prime is 2001233233. The reversal of 2001233220 is 223321002.

It is an interprime number because it is at equal distance from previous prime (2001233207) and next prime (2001233233).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001233220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2153716 + ... + 2154644.

It is an arithmetic number, because the mean of its divisors is an integer number (34997760).

Almost surely, 22001233220 is an apocalyptic number.

2001233220 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 2001233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

2001233220 is an abundant number, since it is smaller than the sum of its proper divisors (4718336700).

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

2001233220 is a wasteful number, since it uses less digits than its factorization.

2001233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2001233220 is about 44735.1452439802. The cubic root of 2001233220 is about 1260.1799566602.

Adding to 2001233220 its reverse (223321002), we get a palindrome (2224554222).

The spelling of 2001233220 in words is "two billion, one million, two hundred thirty-three thousand, two hundred twenty".