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2190134380 = 225727928289
BaseRepresentation
bin1000001010001010…
…1100110001101100
312122122010100120011
42002202230301230
513441133300010
61001154103004
7105162556300
oct20242546154
95578110504
102190134380
11a24301415
1251157aa64
1328b989005
1416ac2dd00
15cc41da8a
hex828acc6c

2190134380 has 72 divisors (see below), whose sum is σ = 5418100800. Its totient is φ = 741371904.

The previous prime is 2190134371. The next prime is 2190134381. The reversal of 2190134380 is 834310912.

It is not an unprimeable number, because it can be changed into a prime (2190134381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63276 + ... + 91564.

It is an arithmetic number, because the mean of its divisors is an integer number (75251400).

Almost surely, 22190134380 is an apocalyptic number.

2190134380 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 2190134380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709050400).

2190134380 is an abundant number, since it is smaller than the sum of its proper divisors (3227966420).

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

2190134380 is a wasteful number, since it uses less digits than its factorization.

2190134380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28391 (or 28382 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2190134380 is about 46798.8715675923. The cubic root of 2190134380 is about 1298.6444212773.

The spelling of 2190134380 in words is "two billion, one hundred ninety million, one hundred thirty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 316 395 490 553 790 980 1106 1580 2212 2765 3871 5530 7742 11060 15484 19355 28289 38710 56578 77420 113156 141445 198023 282890 396046 565780 792092 990115 1386161 1980230 2234831 2772322 3960460 4469662 5544644 6930805 8939324 11174155 13861610 15643817 22348310 27723220 31287634 44696620 62575268 78219085 109506719 156438170 219013438 312876340 438026876 547533595 1095067190 2190134380