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2191980 = 2235717307
BaseRepresentation
bin1000010111001001101100
311010100211110
420113021230
51030120410
6114552020
724426420
oct10271154
94110743
102191980
11126795a
12898610
135b993b
14410b80
152d4720
hex21726c

2191980 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 470016.

The previous prime is 2191967. The next prime is 2191993. The reversal of 2191980 is 891912.

It is an interprime number because it is at equal distance from previous prime (2191967) and next prime (2191993).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6987 + ... + 7293.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

22191980 is an apocalyptic number.

2191980 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 2191980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2191980 is an abundant number, since it is smaller than the sum of its proper divisors (5259156).

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

2191980 is a wasteful number, since it uses less digits than its factorization.

2191980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 2191980 is about 1480.5336875600. The cubic root of 2191980 is about 129.9009106841.

The spelling of 2191980 in words is "two million, one hundred ninety-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 307 340 357 420 476 510 595 614 714 921 1020 1190 1228 1428 1535 1785 1842 2149 2380 3070 3570 3684 4298 4605 5219 6140 6447 7140 8596 9210 10438 10745 12894 15657 18420 20876 21490 25788 26095 31314 32235 36533 42980 52190 62628 64470 73066 78285 104380 109599 128940 146132 156570 182665 219198 313140 365330 438396 547995 730660 1095990 2191980