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2198860160 = 27574671051
BaseRepresentation
bin1000001100001111…
…1111000110000000
312200020112200002012
42003003333012000
514000402011120
61002105112052
7105330001010
oct20303770600
95606480065
102198860160
11a29221202
12514488628
132907228b3
1416c061c40
15cd0941c5
hex830ff180

2198860160 has 128 divisors (see below), whose sum is σ = 6026192640. Its totient is φ = 751564800.

The previous prime is 2198860151. The next prime is 2198860201. The reversal of 2198860160 is 610688912.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091635 + ... + 2092685.

It is an arithmetic number, because the mean of its divisors is an integer number (47079630).

Almost surely, 22198860160 is an apocalyptic number.

2198860160 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 2198860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013096320).

2198860160 is an abundant number, since it is smaller than the sum of its proper divisors (3827332480).

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

2198860160 is a wasteful number, since it uses less digits than its factorization.

2198860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 2198860160 is about 46892.0052887483. The cubic root of 2198860160 is about 1300.3667919643.

The spelling of 2198860160 in words is "two billion, one hundred ninety-eight million, eight hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 467 560 640 896 934 1051 1120 1868 2102 2240 2335 3269 3736 4204 4480 4670 5255 6538 7357 7472 8408 9340 10510 13076 14714 14944 16345 16816 18680 21020 26152 29428 29888 32690 33632 36785 37360 42040 52304 58856 59776 65380 67264 73570 74720 84080 104608 117712 130760 134528 147140 149440 168160 209216 235424 261520 294280 298880 336320 418432 470848 490817 523040 588560 672640 941696 981634 1046080 1177120 1963268 2092160 2354240 2454085 3435719 3926536 4708480 4908170 6871438 7853072 9816340 13742876 15706144 17178595 19632680 27485752 31412288 34357190 39265360 54971504 62824576 68714380 78530720 109943008 137428760 157061440 219886016 274857520 314122880 439772032 549715040 1099430080 2198860160