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1122252144 = 2431317671579
BaseRepresentation
bin100001011100100…
…0011010101110000
32220012201022112020
41002321003111300
54244244032034
6303205431440
736544662066
oct10271032560
92805638466
101122252144
11526533712
12273a0b580
1314b672230
14a9092036
15687ce249
hex42e43570

1122252144 has 160 divisors (see below), whose sum is σ = 3357285120. Its totient is φ = 319942656.

The previous prime is 1122252139. The next prime is 1122252151. The reversal of 1122252144 is 4412522211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 709947 + ... + 711525.

It is an arithmetic number, because the mean of its divisors is an integer number (20983032).

Almost surely, 21122252144 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 1122252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678642560).

1122252144 is an abundant number, since it is smaller than the sum of its proper divisors (2235032976).

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

1122252144 is a wasteful number, since it uses less digits than its factorization.

1122252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 1122252144 is about 33500.0319999847. The cubic root of 1122252144 is about 1039.1944402959.

Adding to 1122252144 its reverse (4412522211), we get a palindrome (5534774355).

The spelling of 1122252144 in words is "one billion, one hundred twenty-two million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 67 68 78 102 104 134 136 156 201 204 208 221 268 272 312 402 408 442 536 624 663 804 816 871 884 1072 1139 1326 1579 1608 1742 1768 2278 2613 2652 3158 3216 3417 3484 3536 4556 4737 5226 5304 6316 6834 6968 9112 9474 10452 10608 12632 13668 13936 14807 18224 18948 20527 20904 25264 26843 27336 29614 37896 41054 41808 44421 53686 54672 59228 61581 75792 80529 82108 88842 105793 107372 118456 123162 161058 164216 177684 211586 214744 236912 246324 317379 322116 328432 348959 355368 423172 429488 492648 634758 644232 697918 710736 846344 985296 1046877 1269516 1288464 1375309 1395836 1692688 1798481 2093754 2539032 2750618 2791672 3596962 4125927 4187508 5078064 5395443 5501236 5583344 7193924 8251854 8375016 10790886 11002472 14387848 16503708 16750032 21581772 22004944 23380253 28775696 33007416 43163544 46760506 66014832 70140759 86327088 93521012 140281518 187042024 280563036 374084048 561126072 1122252144