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1142231200 = 255211293443
BaseRepresentation
bin100010000010101…
…0001000010100000
32221121022100122021
41010011101002200
54314402344300
6305201551224
740206543055
oct10405210240
92847270567
101142231200
1153683a230
1227a645514
13152848c66
14ab9b302c
156a428d1a
hex441510a0

1142231200 has 144 divisors (see below), whose sum is σ = 3059241696. Its totient is φ = 413004800.

The previous prime is 1142231183. The next prime is 1142231273. The reversal of 1142231200 is 21322411.

It is a super-2 number, since 2×11422312002 = 2609384228506880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578179 + ... + 2578621.

It is an arithmetic number, because the mean of its divisors is an integer number (21244734).

Almost surely, 21142231200 is an apocalyptic number.

1142231200 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 1142231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529620848).

1142231200 is an abundant number, since it is smaller than the sum of its proper divisors (1917010496).

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

1142231200 is a wasteful number, since it uses less digits than its factorization.

1142231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1142231200 is about 33796.9111014601. The cubic root of 1142231200 is about 1045.3250059352.

Adding to 1142231200 its reverse (21322411), we get a palindrome (1163553611).

The spelling of 1142231200 in words is "one billion, one hundred forty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 293 352 400 440 443 550 586 800 880 886 1100 1172 1465 1760 1772 2200 2215 2344 2930 3223 3544 4400 4430 4688 4873 5860 6446 7088 7325 8800 8860 9376 9746 11075 11720 12892 14176 14650 16115 17720 19492 22150 23440 24365 25784 29300 32230 35440 38984 44300 46880 48730 51568 58600 64460 70880 77968 80575 88600 97460 103136 117200 121825 128920 129799 155936 161150 177200 194920 234400 243650 257840 259598 322300 354400 389840 487300 515680 519196 644600 648995 779680 974600 1038392 1289200 1297990 1427789 1949200 2076784 2578400 2595980 2855578 3244975 3898400 4153568 5191960 5711156 6489950 7138945 10383920 11422312 12979900 14277890 20767840 22844624 25959800 28555780 35694725 45689248 51919600 57111560 71389450 103839200 114223120 142778900 228446240 285557800 571115600 1142231200