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2141003220 = 22351931471289
BaseRepresentation
bin111111110011101…
…0001110111010100
312112012200020021120
41333213101313110
513341044100340
6552241043540
7104025140616
oct17747216724
95465606246
102141003220
119a95a4454
124b90265b0
13281746215
141644c0db6
15c7e664d0
hex7f9d1dd4

2141003220 has 192 divisors, whose sum is σ = 6657638400. Its totient is φ = 511902720.

The previous prime is 2141003197. The next prime is 2141003237. The reversal of 2141003220 is 223001412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2141003220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1660336 + ... + 1661624.

It is an arithmetic number, because the mean of its divisors is an integer number (34675200).

Almost surely, 22141003220 is an apocalyptic number.

2141003220 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 2141003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328819200).

2141003220 is an abundant number, since it is smaller than the sum of its proper divisors (4516635180).

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

2141003220 is a wasteful number, since it uses less digits than its factorization.

2141003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2141003220 is about 46270.9760000802. The cubic root of 2141003220 is about 1288.8600830804.

Adding to 2141003220 its reverse (223001412), we get a palindrome (2364004632).

The spelling of 2141003220 in words is "two billion, one hundred forty-one million, three thousand, two hundred twenty".