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2180117988 = 2232192227739
BaseRepresentation
bin1000000111110001…
…1111010111100100
312121221021110122200
42001330133113210
513431102233423
61000155254500
7105011461056
oct20174372744
95557243580
102180117988
11a1968aa04
1250a14a430
1328988cb59
141697838d6
15cb5e0d43
hex81f1f5e4

2180117988 has 108 divisors (see below), whose sum is σ = 5849691120. Its totient is φ = 684497952.

The previous prime is 2180117921. The next prime is 2180117999. The reversal of 2180117988 is 8897110812.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2949723 + ... + 2950461.

Almost surely, 22180117988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180117988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924845560).

2180117988 is an abundant number, since it is smaller than the sum of its proper divisors (3669573132).

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

2180117988 is a wasteful number, since it uses less digits than its factorization.

2180117988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The square root of 2180117988 is about 46691.7336152771. The cubic root of 2180117988 is about 1296.6616491752.

The spelling of 2180117988 in words is "two billion, one hundred eighty million, one hundred seventeen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 227 228 342 361 454 681 684 722 739 908 1083 1362 1444 1478 2043 2166 2217 2724 2956 3249 4086 4313 4332 4434 6498 6651 8172 8626 8868 12939 12996 13302 14041 17252 25878 26604 28082 38817 42123 51756 56164 77634 81947 84246 126369 155268 163894 167753 168492 245841 252738 266779 327788 335506 491682 503259 505476 533558 671012 737523 800337 983364 1006518 1067116 1475046 1509777 1600674 2013036 2401011 2950092 3019554 3187307 3201348 4802022 6039108 6374614 9561921 9604044 12749228 19123842 28685763 38247684 57371526 60558833 114743052 121117666 181676499 242235332 363352998 545029497 726705996 1090058994 2180117988