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2196400 = 245217219
BaseRepresentation
bin1000011000001110110000
311010120220011
420120032300
51030241100
6115024304
724445333
oct10301660
94116804
102196400
111270208
1289b094
135bb95b
1441261a
152d5bba
hex2183b0

2196400 has 90 divisors (see below), whose sum is σ = 5900540. Its totient is φ = 783360.

The previous prime is 2196377. The next prime is 2196401. The reversal of 2196400 is 46912.

It is not an unprimeable number, because it can be changed into a prime (2196401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115591 + ... + 115609.

22196400 is an apocalyptic number.

2196400 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 2196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950270).

2196400 is an abundant number, since it is smaller than the sum of its proper divisors (3704140).

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

2196400 is a wasteful number, since it uses less digits than its factorization.

2196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2196400 is about 1482.0256408038. The cubic root of 2196400 is about 129.9881646030.

The spelling of 2196400 in words is "two million, one hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 19 20 25 34 38 40 50 68 76 80 85 95 100 136 152 170 190 200 272 289 304 323 340 380 400 425 475 578 646 680 760 850 950 1156 1292 1360 1445 1520 1615 1700 1900 2312 2584 2890 3230 3400 3800 4624 5168 5491 5780 6460 6800 7225 7600 8075 10982 11560 12920 14450 16150 21964 23120 25840 27455 28900 32300 43928 54910 57800 64600 87856 109820 115600 129200 137275 219640 274550 439280 549100 1098200 2196400