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2190881592 = 2332376411283
BaseRepresentation
bin1000001010010110…
…0011001100111000
312122200112022112200
42002211203030320
513441331202332
61001222110200
7105202120614
oct20245431470
95580468480
102190881592
11a24771849
1251187b360
1328bb8b153
1416ad86344
15cc51a17c
hex82963338

2190881592 has 96 divisors (see below), whose sum is σ = 6108270480. Its totient is φ = 708894720.

The previous prime is 2190881591. The next prime is 2190881593. The reversal of 2190881592 is 2951880912.

It is an interprime number because it is at equal distance from previous prime (2190881591) and next prime (2190881593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190881591) 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, 1706983 + ... + 1708265.

Almost surely, 22190881592 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 2190881592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054135240).

2190881592 is an abundant number, since it is smaller than the sum of its proper divisors (3917388888).

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

2190881592 is a wasteful number, since it uses less digits than its factorization.

2190881592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 2190881592 is about 46806.8541134736. The cubic root of 2190881592 is about 1298.7920914190.

The spelling of 2190881592 in words is "two billion, one hundred ninety million, eight hundred eighty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 641 666 888 1282 1283 1332 1923 2564 2566 2664 3846 3849 5128 5132 5769 7692 7698 10264 11538 11547 15384 15396 23076 23094 23717 30792 46152 46188 47434 47471 71151 92376 94868 94942 142302 142413 189736 189884 213453 284604 284826 379768 426906 427239 569208 569652 822403 853812 854478 1139304 1644806 1707624 1708956 2467209 3289612 3417912 4934418 6579224 7401627 9868836 14803254 19737672 29606508 30428911 59213016 60857822 91286733 121715644 182573466 243431288 273860199 365146932 547720398 730293864 1095440796 2190881592