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1122113440 = 25572713697
BaseRepresentation
bin100001011100010…
…0001011110100000
32220012110021021001
41002320201132200
54244230112230
6303202441344
736543543520
oct10270413640
92805407231
101122113440
11526449488
12273963254
1314b624066
14a9057680
15687a30ca
hex42e217a0

1122113440 has 96 divisors (see below), whose sum is σ = 3041708544. Its totient is φ = 383201280.

The previous prime is 1122113401. The next prime is 1122113491. The reversal of 1122113440 is 443112211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301672 + ... + 305368.

It is an arithmetic number, because the mean of its divisors is an integer number (31684464).

Almost surely, 21122113440 is an apocalyptic number.

1122113440 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 1122113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520854272).

1122113440 is an abundant number, since it is smaller than the sum of its proper divisors (1919595104).

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

1122113440 is a wasteful number, since it uses less digits than its factorization.

1122113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1122113440 is about 33497.9617290366. The cubic root of 1122113440 is about 1039.1516256857.

Adding to 1122113440 its reverse (443112211), we get a palindrome (1565225651).

The spelling of 1122113440 in words is "one billion, one hundred twenty-two million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 271 280 542 560 1084 1120 1355 1897 2168 2710 3697 3794 4336 5420 7394 7588 8672 9485 10840 14788 15176 18485 18970 21680 25879 29576 30352 36970 37940 43360 51758 59152 60704 73940 75880 103516 118304 129395 147880 151760 207032 258790 295760 303520 414064 517580 591520 828128 1001887 1035160 2003774 2070320 4007548 4140640 5009435 7013209 8015096 10018870 14026418 16030192 20037740 28052836 32060384 35066045 40075480 56105672 70132090 80150960 112211344 140264180 160301920 224422688 280528360 561056720 1122113440