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2197620 = 2232529421
BaseRepresentation
bin1000011000100001110100
311010122120100
420120201310
51030310440
6115034100
724452025
oct10304164
94118510
102197620
111271117
1289b930
135bc389
14412c4c
152d6230
hex218874

2197620 has 72 divisors (see below), whose sum is σ = 6912360. Its totient is φ = 564480.

The previous prime is 2197609. The next prime is 2197631. The reversal of 2197620 is 267912.

It is an interprime number because it is at equal distance from previous prime (2197609) and next prime (2197631).

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 2196324 = 36^2 + 1482^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5010 + ... + 5430.

It is an arithmetic number, because the mean of its divisors is an integer number (96005).

22197620 is an apocalyptic number.

2197620 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 2197620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456180).

2197620 is an abundant number, since it is smaller than the sum of its proper divisors (4714740).

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

2197620 is a wasteful number, since it uses less digits than its factorization.

2197620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2197620 is about 1482.4371824803. The cubic root of 2197620 is about 130.0122276467.

The spelling of 2197620 in words is "two million, one hundred ninety-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 421 435 522 580 842 870 1044 1263 1305 1684 1740 2105 2526 2610 3789 4210 5052 5220 6315 7578 8420 12209 12630 15156 18945 24418 25260 36627 37890 48836 61045 73254 75780 109881 122090 146508 183135 219762 244180 366270 439524 549405 732540 1098810 2197620