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2141715420 = 22325131723167
BaseRepresentation
bin111111110100111…
…1111101111011100
312112021000102020100
41333221333233130
513341234343140
6552304221100
7104034165165
oct17751775734
95467012210
102141715420
119a9a40549
124b930a790
13281935440
1416462876c
15c8057530
hex7fa7fbdc

2141715420 has 216 divisors, whose sum is σ = 7434370944. Its totient is φ = 496023552.

The previous prime is 2141715409. The next prime is 2141715469. The reversal of 2141715420 is 245171412.

2141715420 is a `hidden beast` number, since 214 + 17 + 15 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 674677 + ... + 677843.

It is an arithmetic number, because the mean of its divisors is an integer number (34418384).

Almost surely, 22141715420 is an apocalyptic number.

2141715420 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 2141715420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717185472).

2141715420 is an abundant number, since it is smaller than the sum of its proper divisors (5292655524).

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

2141715420 is a wasteful number, since it uses less digits than its factorization.

2141715420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2141715420 is about 46278.6713292419. The cubic root of 2141715420 is about 1289.0029793917.

Adding to 2141715420 its reverse (245171412), we get a palindrome (2386886832).

The spelling of 2141715420 in words is "two billion, one hundred forty-one million, seven hundred fifteen thousand, four hundred twenty".