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2248191946 = 2711137971409
BaseRepresentation
bin1000011000000000…
…1010111111001010
312210200100222120101
42012000022333022
514101014120241
61011030320014
7106466213320
oct20600127712
95720328511
102248191946
11a54055980
12528ab900a
1329aa05ac0
14174823d10
15d258ae31
hex8600afca

2248191946 has 64 divisors (see below), whose sum is σ = 4536725760. Its totient is φ = 806952960.

The previous prime is 2248191931. The next prime is 2248191997. The reversal of 2248191946 is 6491918422.

It is a junction number, because it is equal to n+sod(n) for n = 2248191896 and 2248191905.

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 31 ways as a sum of consecutive naturals, for example, 1594890 + ... + 1596298.

It is an arithmetic number, because the mean of its divisors is an integer number (70886340).

Almost surely, 22248191946 is an apocalyptic number.

2248191946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2248191946 is an abundant number, since it is smaller than the sum of its proper divisors (2288533814).

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

2248191946 is a wasteful number, since it uses less digits than its factorization.

2248191946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239.

The product of its digits is 248832, while the sum is 46.

The square root of 2248191946 is about 47415.1025096435. The cubic root of 2248191946 is about 1310.0196073440.

The spelling of 2248191946 in words is "two billion, two hundred forty-eight million, one hundred ninety-one thousand, nine hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 797 1001 1409 1594 2002 2818 5579 8767 9863 10361 11158 15499 17534 18317 19726 20722 30998 36634 61369 72527 108493 113971 122738 128219 145054 201487 216986 227942 256438 402974 797797 1122973 1410409 1595594 2245946 2820818 7860811 12352703 14598649 15721622 24705406 29197298 86468921 102190543 160585139 172937842 204381086 321170278 1124095973 2248191946