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1132222000 = 24537136221
BaseRepresentation
bin100001101111100…
…0101011000110000
32220220110211121011
41003133011120300
54304322101000
6304203240304
740025504530
oct10337053060
92826424534
101132222000
11531123168
12277219094
13150753160
14aa5294c0
15695ed2ba
hex437c5630

1132222000 has 160 divisors (see below), whose sum is σ = 3370034304. Its totient is φ = 358272000.

The previous prime is 1132221983. The next prime is 1132222061. The reversal of 1132222000 is 2222311.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178890 + ... + 185110.

Almost surely, 21132222000 is an apocalyptic number.

1132222000 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 1132222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685017152).

1132222000 is an abundant number, since it is smaller than the sum of its proper divisors (2237812304).

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

1132222000 is a wasteful number, since it uses less digits than its factorization.

1132222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1132222000 is about 33648.5066533420. The cubic root of 1132222000 is about 1042.2627017319.

Adding to 1132222000 its reverse (2222311), we get a palindrome (1134444311).

The spelling of 1132222000 in words is "one billion, one hundred thirty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6221 6500 7000 7280 9100 11375 12442 13000 14000 18200 22750 24884 26000 31105 36400 43547 45500 49768 62210 80873 87094 91000 99536 124420 155525 161746 174188 182000 217735 248840 311050 323492 348376 404365 435470 497680 566111 622100 646984 696752 777625 808730 870940 1088675 1132222 1244200 1293968 1555250 1617460 1741880 2021825 2177350 2264444 2488400 2830555 3110500 3234920 3483760 4043650 4354700 4528888 5443375 5661110 6221000 6469840 8087300 8709400 9057776 10109125 10886750 11322220 12442000 14152775 16174600 17418800 20218250 21773500 22644440 28305550 32349200 40436500 43547000 45288880 56611100 70763875 80873000 87094000 113222200 141527750 161746000 226444400 283055500 566111000 1132222000