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2131220 = 2257131171
BaseRepresentation
bin1000001000010100010100
311000021111002
420020110110
51021144340
6113402432
724054320
oct10102424
94007432
102131220
111226243
12869418
135980a0
143d6980
152c1715
hex208514

2131220 has 48 divisors (see below), whose sum is σ = 5513088. Its totient is φ = 673920.

The previous prime is 2131193. The next prime is 2131223. The reversal of 2131220 is 221312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131223) 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, 1235 + ... + 2405.

It is an arithmetic number, because the mean of its divisors is an integer number (114856).

22131220 is an apocalyptic number.

2131220 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 2131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756544).

2131220 is an abundant number, since it is smaller than the sum of its proper divisors (3381868).

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

2131220 is a wasteful number, since it uses less digits than its factorization.

2131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2131220 is about 1459.8698572133. The cubic root of 2131220 is about 128.6893955510.

Adding to 2131220 its reverse (221312), we get a palindrome (2352532).

The spelling of 2131220 in words is "two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1171 1820 2342 4684 5855 8197 11710 15223 16394 23420 30446 32788 40985 60892 76115 81970 106561 152230 163940 213122 304460 426244 532805 1065610 2131220