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1100223144 = 2332113271499
BaseRepresentation
bin100000110010100…
…0001001010101000
32211200021010102100
41001211001022220
54223124120034
6301101333400
736156512436
oct10145011250
92750233370
101100223144
11515057a29
12268567260
13146c2b417
14a6199d56
15668cc099
hex419412a8

1100223144 has 96 divisors (see below), whose sum is σ = 3023280000. Its totient is φ = 361428480.

The previous prime is 1100223121. The next prime is 1100223149. The reversal of 1100223144 is 4413220011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1100223149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204607 + ... + 2205105.

It is an arithmetic number, because the mean of its divisors is an integer number (31492500).

Almost surely, 21100223144 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 1100223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511640000).

1100223144 is an abundant number, since it is smaller than the sum of its proper divisors (1923056856).

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

1100223144 is a wasteful number, since it uses less digits than its factorization.

1100223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1100223144 is about 33169.6117553402. The cubic root of 1100223144 is about 1032.3499128927.

Adding to 1100223144 its reverse (4413220011), we get a palindrome (5513443155).

The spelling of 1100223144 in words is "one billion, one hundred million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 271 339 452 499 542 678 813 904 998 1017 1084 1356 1497 1626 1996 2034 2168 2439 2712 2994 3252 3992 4068 4491 4878 5988 6504 8136 8982 9756 11976 17964 19512 30623 35928 56387 61246 91869 112774 122492 135229 169161 183738 225548 244984 270458 275607 338322 367476 405687 451096 507483 540916 551214 676644 734952 811374 1014966 1081832 1102428 1217061 1353288 1622748 2029932 2204856 2434122 3245496 4059864 4868244 9736488 15280877 30561754 45842631 61123508 91685262 122247016 137527893 183370524 275055786 366741048 550111572 1100223144