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2192940 = 2233531131
BaseRepresentation
bin1000010111011000101100
311010102011000
420113120230
51030133230
6115000300
724432261
oct10273054
94112130
102192940
111268652
12899090
135ba1c9
14411268
152d4b60
hex21762c

2192940 has 96 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 561600.

The previous prime is 2192933. The next prime is 2192941. The reversal of 2192940 is 492912.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2192941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16675 + ... + 16805.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

22192940 is an apocalyptic number.

2192940 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 2192940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2192940 is an abundant number, since it is smaller than the sum of its proper divisors (4903380).

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

2192940 is a wasteful number, since it uses less digits than its factorization.

2192940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2192940 is about 1480.8578594855. The cubic root of 2192940 is about 129.9198717259.

The spelling of 2192940 in words is "two million, one hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 131 135 155 180 186 262 270 279 310 372 393 465 524 540 558 620 655 786 837 930 1116 1179 1310 1395 1572 1674 1860 1965 2358 2620 2790 3348 3537 3930 4061 4185 4716 5580 5895 7074 7860 8122 8370 11790 12183 14148 16244 16740 17685 20305 23580 24366 35370 36549 40610 48732 60915 70740 73098 81220 109647 121830 146196 182745 219294 243660 365490 438588 548235 730980 1096470 2192940