Search a number
-
+
1000432240220 = 225739231821551
BaseRepresentation
bin11101000111011100110…
…10001000011001011100
310112122021211202111121002
432203232122020121130
5112342341123141340
62043331530525432
7132164433506420
oct16435632103134
93478254674532
101000432240220
1135630aa11416
12141a82896878
13734569b799a
14365c7a00b80
151b054697715
hexe8ee68865c

1000432240220 has 48 divisors (see below), whose sum is σ = 2401650736128. Its totient is φ = 342917716800.

The previous prime is 1000432240169. The next prime is 1000432240267. The reversal of 1000432240220 is 220422340001.

1000432240220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1000432240192 and 1000432240201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361556 + ... + 1459995.

It is an arithmetic number, because the mean of its divisors is an integer number (50034390336).

Almost surely, 21000432240220 is an apocalyptic number.

1000432240220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000432240220 is an abundant number, since it is smaller than the sum of its proper divisors (1401218495908).

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

1000432240220 is a wasteful number, since it uses less digits than its factorization.

1000432240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825490 (or 1825488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1000432240220 its reverse (220422340001), we get a palindrome (1220854580221).

The spelling of 1000432240220 in words is "one trillion, four hundred thirty-two million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3923 7846 15692 19615 27461 39230 54922 78460 109844 137305 274610 549220 1821551 3643102 7286204 9107755 12750857 18215510 25501714 36431020 51003428 63754285 127508570 255017140 7145944573 14291889146 28583778292 35729722865 50021612011 71459445730 100043224022 142918891460 200086448044 250108060055 500216120110 1000432240220