Search a number
-
+
1222134340 = 2257191014549
BaseRepresentation
bin100100011011000…
…0100101001000100
310011011122212010211
41020312010221010
510000331244330
6321134325204
742166653610
oct11066045104
93134585124
101222134340
11577954689
122a1359804
1316627421b
14b8452340
157245dd2a
hex48d84a44

1222134340 has 96 divisors (see below), whose sum is σ = 3118752000. Its totient is φ = 392947200.

The previous prime is 1222134317. The next prime is 1222134341. The reversal of 1222134340 is 434312221.

It is a super-2 number, since 2×12221343402 = 2987224690014471200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1222134341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266386 + ... + 270934.

It is an arithmetic number, because the mean of its divisors is an integer number (32487000).

Almost surely, 21222134340 is an apocalyptic number.

1222134340 is a gapful number since it is divisible by the number (10) 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 1222134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559376000).

1222134340 is an abundant number, since it is smaller than the sum of its proper divisors (1896617660).

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

1222134340 is a wasteful number, since it uses less digits than its factorization.

1222134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1222134340 is about 34959.0380302433. The cubic root of 1222134340 is about 1069.1524834530.

Adding to 1222134340 its reverse (434312221), we get a palindrome (1656446561).

The spelling of 1222134340 in words is "one billion, two hundred twenty-two million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 101 133 140 190 202 266 380 404 505 532 665 707 1010 1330 1414 1919 2020 2660 2828 3535 3838 4549 7070 7676 9098 9595 13433 14140 18196 19190 22745 26866 31843 38380 45490 53732 63686 67165 86431 90980 127372 134330 159215 172862 268660 318430 345724 432155 459449 605017 636860 864310 918898 1210034 1728620 1837796 2297245 2420068 3025085 3216143 4594490 6050170 6432286 8729531 9188980 12100340 12864572 16080715 17459062 32161430 34918124 43647655 61106717 64322860 87295310 122213434 174590620 244426868 305533585 611067170 1222134340