Search a number
-
+
2025363340 = 22571121317541
BaseRepresentation
bin111100010111000…
…1001011110001100
312020011002010012001
41320232021132030
513121443111330
6532550322044
7101122206250
oct17056113614
95204063161
102025363340
1194a2a0500
12486359324
132637b7a60
14152dbc260
15bcc229ca
hex78b8978c

2025363340 has 288 divisors, whose sum is σ = 6103665792. Its totient is φ = 547430400.

The previous prime is 2025363293. The next prime is 2025363383. The reversal of 2025363340 is 433635202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2025363299 and 2025363308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3743470 + ... + 3744010.

It is an arithmetic number, because the mean of its divisors is an integer number (21193284).

Almost surely, 22025363340 is an apocalyptic number.

2025363340 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 2025363340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051832896).

2025363340 is an abundant number, since it is smaller than the sum of its proper divisors (4078302452).

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

2025363340 is a wasteful number, since it uses less digits than its factorization.

2025363340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 2025363340 is about 45004.0369300355. The cubic root of 2025363340 is about 1265.2246607916.

Adding to 2025363340 its reverse (433635202), we get a palindrome (2458998542).

The spelling of 2025363340 in words is "two billion, twenty-five million, three hundred sixty-three thousand, three hundred forty".