Search a number
-
+
2030422000 = 24537313907
BaseRepresentation
bin111100100000101…
…1100011111110000
312020111121010100211
41321001130133300
513124242001000
6533250553504
7101213205445
oct17101343760
95214533324
102030422000
11952136112
12487b98894
13264869449
141539379cc
15bd3c17ba
hex7905c7f0

2030422000 has 80 divisors (see below), whose sum is σ = 4977172512. Its totient is φ = 800985600.

The previous prime is 2030421977. The next prime is 2030422001. The reversal of 2030422000 is 2240302.

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

It is a super-2 number, since 2×20304220002 = 8245226996168000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030422001) 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, 139047 + ... + 152953.

Almost surely, 22030422000 is an apocalyptic number.

2030422000 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 2030422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488586256).

2030422000 is an abundant number, since it is smaller than the sum of its proper divisors (2946750512).

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

2030422000 is a wasteful number, since it uses less digits than its factorization.

2030422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14003 (or 13987 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2030422000 is about 45060.2041717523. The cubic root of 2030422000 is about 1266.2771501601.

Adding to 2030422000 its reverse (2240302), we get a palindrome (2032662302).

The spelling of 2030422000 in words is "two billion, thirty million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 13907 14600 18250 27814 29200 36500 55628 69535 73000 111256 139070 146000 222512 278140 347675 556280 695350 1015211 1112560 1390700 1738375 2030422 2781400 3476750 4060844 5076055 5562800 6953500 8121688 10152110 13907000 16243376 20304220 25380275 27814000 40608440 50760550 81216880 101521100 126901375 203042200 253802750 406084400 507605500 1015211000 2030422000