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1118223144 = 233417831223
BaseRepresentation
bin100001010100110…
…1011101100101000
32212221010121210000
41002221223230220
54242231120034
6302543223000
736465511533
oct10251535450
92787117700
101118223144
11524231665
122725a7a60
1314a8913cc
14a8723a1a
1568285599
hex42a6bb28

1118223144 has 160 divisors (see below), whose sum is σ = 3358998720. Its totient is φ = 346305024.

The previous prime is 1118223143. The next prime is 1118223157. The reversal of 1118223144 is 4413228111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1118223143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 913717 + ... + 914939.

It is an arithmetic number, because the mean of its divisors is an integer number (20993742).

Almost surely, 21118223144 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 1118223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679499360).

1118223144 is an abundant number, since it is smaller than the sum of its proper divisors (2240775576).

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

1118223144 is a wasteful number, since it uses less digits than its factorization.

1118223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1328 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1118223144 is about 33439.8436599216. The cubic root of 1118223144 is about 1037.9493443154.

The spelling of 1118223144 in words is "one billion, one hundred eighteen million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 83 102 108 136 153 162 166 204 216 249 306 324 332 408 459 498 612 648 664 747 918 996 1223 1224 1377 1411 1494 1836 1992 2241 2446 2754 2822 2988 3669 3672 4233 4482 4892 5508 5644 5976 6723 7338 8466 8964 9784 11007 11016 11288 12699 13446 14676 16932 17928 20791 22014 25398 26892 29352 33021 33864 38097 41582 44028 50796 53784 62373 66042 76194 83164 88056 99063 101509 101592 114291 124746 132084 152388 166328 187119 198126 203018 228582 249492 264168 304527 304776 374238 396252 406036 457164 498984 561357 609054 748476 792504 812072 913581 914328 1122714 1218108 1496952 1684071 1725653 1827162 2245428 2436216 2740743 3368142 3451306 3654324 4490856 5176959 5481486 6736284 6902612 7308648 8222229 10353918 10962972 13472568 13805224 15530877 16444458 20707836 21925944 31061754 32888916 41415672 46592631 62123508 65777832 93185262 124247016 139777893 186370524 279555786 372741048 559111572 1118223144