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2196685120 = 26571039521
BaseRepresentation
bin1000001011101110…
…1100000101000000
312200002110011111011
42002323230011000
513444322410440
61001550330304
7105302341540
oct20273540500
95602404434
102196685120
11a27a76053
125137b9994
132901408a6
1416ba57320
15cccb49ea
hex82eec140

2196685120 has 112 divisors (see below), whose sum is σ = 6036795648. Its totient is φ = 745758720.

The previous prime is 2196685111. The next prime is 2196685123. The reversal of 2196685120 is 215866912.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196685123) 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, 225960 + ... + 235480.

Almost surely, 22196685120 is an apocalyptic number.

2196685120 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 2196685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018397824).

2196685120 is an abundant number, since it is smaller than the sum of its proper divisors (3840110528).

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

2196685120 is a wasteful number, since it uses less digits than its factorization.

2196685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9648 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 2196685120 is about 46868.8075376364. The cubic root of 2196685120 is about 1299.9378905238.

The spelling of 2196685120 in words is "two billion, one hundred ninety-six million, six hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 103 112 140 160 206 224 280 320 412 448 515 560 721 824 1030 1120 1442 1648 2060 2240 2884 3296 3605 4120 5768 6592 7210 8240 9521 11536 14420 16480 19042 23072 28840 32960 38084 46144 47605 57680 66647 76168 95210 115360 133294 152336 190420 230720 266588 304672 333235 380840 533176 609344 666470 761680 980663 1066352 1332940 1523360 1961326 2132704 2665880 3046720 3922652 4265408 4903315 5331760 6864641 7845304 9806630 10663520 13729282 15690608 19613260 21327040 27458564 31381216 34323205 39226520 54917128 62762432 68646410 78453040 109834256 137292820 156906080 219668512 274585640 313812160 439337024 549171280 1098342560 2196685120