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1112245400 = 235271722749
BaseRepresentation
bin100001001001011…
…1000010010011000
32212111212220212002
41002102320102120
54234213323100
6302211140132
736363633650
oct10222702230
92774786762
101112245400
11520919482
122705a4648
1314957a596
14a7a09360
15679a42d5
hex424b8498

1112245400 has 144 divisors (see below), whose sum is σ = 3140610000. Its totient is φ = 358778880.

The previous prime is 1112245369. The next prime is 1112245411. The reversal of 1112245400 is 45422111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 403226 + ... + 405974.

Almost surely, 21112245400 is an apocalyptic number.

1112245400 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 1112245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570305000).

1112245400 is an abundant number, since it is smaller than the sum of its proper divisors (2028364600).

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

1112245400 is a wasteful number, since it uses less digits than its factorization.

1112245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1112245400 is about 33350.3433265686. The cubic root of 1112245400 is about 1036.0964987159.

Adding to 1112245400 its reverse (45422111), we get a palindrome (1157667511).

The spelling of 1112245400 in words is "one billion, one hundred twelve million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 289 340 350 425 476 578 595 680 700 850 952 1156 1190 1400 1445 1700 2023 2312 2380 2749 2890 2975 3400 4046 4760 5498 5780 5950 7225 8092 10115 10996 11560 11900 13745 14450 16184 19243 20230 21992 23800 27490 28900 38486 40460 46733 50575 54980 57800 68725 76972 80920 93466 96215 101150 109960 137450 153944 186932 192430 202300 233665 274900 327131 373864 384860 404600 467330 481075 549800 654262 769720 794461 934660 962150 1168325 1308524 1588922 1635655 1869320 1924300 2336650 2617048 3177844 3271310 3848600 3972305 4673300 5561227 6355688 6542620 7944610 8178275 9346600 11122454 13085240 15889220 16356550 19861525 22244908 27806135 31778440 32713100 39723050 44489816 55612270 65426200 79446100 111224540 139030675 158892200 222449080 278061350 556122700 1112245400