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2141614020 = 22357133710601
BaseRepresentation
bin111111110100110…
…0110111111000100
312112020211021010210
41333221212333010
513341223122040
6552302115420
7104033263440
oct17751467704
95466737123
102141614020
119a9981347
124b927bb70
132818cb240
141645dd820
15c8037480
hex7fa66fc4

2141614020 has 192 divisors, whose sum is σ = 7580514816. Its totient is φ = 439603200.

The previous prime is 2141614001. The next prime is 2141614039. The reversal of 2141614020 is 204161412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2141614001) and next prime (2141614039).

It is a super-2 number, since 2×21416140202 = 9173021221321120800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 196720 + ... + 207320.

It is an arithmetic number, because the mean of its divisors is an integer number (39481848).

Almost surely, 22141614020 is an apocalyptic number.

2141614020 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 2141614020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790257408).

2141614020 is an abundant number, since it is smaller than the sum of its proper divisors (5438900796).

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

2141614020 is a wasteful number, since it uses less digits than its factorization.

2141614020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2141614020 is about 46277.5757792043. The cubic root of 2141614020 is about 1288.9826363583.

Adding to 2141614020 its reverse (204161412), we get a palindrome (2345775432).

The spelling of 2141614020 in words is "two billion, one hundred forty-one million, six hundred fourteen thousand, twenty".