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1122081400 = 2352112199233
BaseRepresentation
bin100001011100001…
…1001101001111000
32220012101122022101
41002320121221320
54244223101100
6303202033144
736543351226
oct10270315170
92805348271
101122081400
11526427400
122739487b4
1314b6125bb
14a9049b16
156879886a
hex42e19a78

1122081400 has 144 divisors (see below), whose sum is σ = 2894346000. Its totient is φ = 404236800.

The previous prime is 1122081313. The next prime is 1122081407. The reversal of 1122081400 is 41802211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122081407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4815684 + ... + 4815916.

It is an arithmetic number, because the mean of its divisors is an integer number (20099625).

Almost surely, 21122081400 is an apocalyptic number.

1122081400 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 1122081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447173000).

1122081400 is an abundant number, since it is smaller than the sum of its proper divisors (1772264600).

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

1122081400 is a wasteful number, since it uses less digits than its factorization.

1122081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1122081400 is about 33497.4834875696. The cubic root of 1122081400 is about 1039.1417352017.

Adding to 1122081400 its reverse (41802211), we get a palindrome (1163883611).

The spelling of 1122081400 in words is "one billion, one hundred twenty-two million, eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 199 200 220 233 242 275 398 440 466 484 550 605 796 932 968 995 1100 1165 1210 1592 1864 1990 2189 2200 2330 2420 2563 3025 3980 4378 4660 4840 4975 5126 5825 6050 7960 8756 9320 9950 10252 10945 11650 12100 12815 17512 19900 20504 21890 23300 24079 24200 25630 28193 39800 43780 46367 46600 48158 51260 54725 56386 64075 87560 92734 96316 102520 109450 112772 120395 128150 140965 185468 192632 218900 225544 231835 240790 256300 281930 370936 437800 463670 481580 510037 512600 563860 601975 704825 927340 963160 1020074 1127720 1159175 1203950 1409650 1854680 2040148 2318350 2407900 2550185 2819300 4080296 4636700 4815800 5100370 5610407 5638600 9273400 10200740 11220814 12750925 20401480 22441628 25501850 28052035 44883256 51003700 56104070 102007400 112208140 140260175 224416280 280520350 561040700 1122081400