Search a number
-
+
20221504000 = 2953315961
BaseRepresentation
bin10010110101010010…
…111010101000000000
31221012021022211121121
4102311102322220000
5312403201112000
613142321002024
71314051643105
oct226522725000
957167284547
1020221504000
11863756a285
123b04183314
131ba3550aa9
14d9b8a4aac
157d5421b1a
hex4b54baa00

20221504000 has 80 divisors (see below), whose sum is σ = 50423743656. Its totient is φ = 8088576000.

The previous prime is 20221503971. The next prime is 20221504013. The reversal of 20221504000 is 40512202.

It can be written as a sum of positive squares in 4 ways, for example, as 1537894656 + 18683609344 = 39216^2 + 136688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 93981 + ... + 221980.

Almost surely, 220221504000 is an apocalyptic number.

20221504000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221504000 is an abundant number, since it is smaller than the sum of its proper divisors (30202239656).

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

20221504000 is an frugal number, since it uses more digits than its factorization.

20221504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315994 (or 315968 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The spelling of 20221504000 in words is "twenty billion, two hundred twenty-one million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 315961 631922 1263844 1579805 2527688 3159610 5055376 6319220 7899025 10110752 12638440 15798050 20221504 25276880 31596100 39495125 40443008 50553760 63192200 78990250 80886016 101107520 126384400 157980500 161772032 202215040 252768800 315961000 404430080 505537600 631922000 808860160 1011075200 1263844000 2022150400 2527688000 4044300800 5055376000 10110752000 20221504000