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1331422200 = 233252898311
BaseRepresentation
bin100111101011011…
…1110001111111000
310102210022020220100
41033112332033320
510211321002300
6340040555400
744664621243
oct11726761770
93383266810
101331422200
1162360a229
12311a82b60
13182aba3b4
14c8b8025a
157bd4a700
hex4f5be3f8

1331422200 has 144 divisors (see below), whose sum is σ = 4522143600. Its totient is φ = 351014400.

The previous prime is 1331422189. The next prime is 1331422217. The reversal of 1331422200 is 22241331.

1331422200 is a `hidden beast` number, since 13 + 31 + 422 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156045 + ... + 164355.

It is an arithmetic number, because the mean of its divisors is an integer number (31403775).

Almost surely, 21331422200 is an apocalyptic number.

1331422200 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 1331422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261071800).

1331422200 is an abundant number, since it is smaller than the sum of its proper divisors (3190721400).

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

1331422200 is a wasteful number, since it uses less digits than its factorization.

1331422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8422 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1331422200 is about 36488.6585119267. The cubic root of 1331422200 is about 1100.1162962442.

Adding to 1331422200 its reverse (22241331), we get a palindrome (1353663531).

The spelling of 1331422200 in words is "one billion, three hundred thirty-one million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 150 178 180 200 225 267 300 356 360 445 450 534 600 712 801 890 900 1068 1335 1602 1780 1800 2136 2225 2670 3204 3560 4005 4450 5340 6408 6675 8010 8311 8900 10680 13350 16020 16622 17800 20025 24933 26700 32040 33244 40050 41555 49866 53400 66488 74799 80100 83110 99732 124665 149598 160200 166220 199464 207775 249330 299196 332440 373995 415550 498660 598392 623325 739679 747990 831100 997320 1246650 1479358 1495980 1662200 1869975 2219037 2493300 2958716 2991960 3698395 3739950 4438074 4986600 5917432 6657111 7396790 7479900 8876148 11095185 13314222 14793580 14959800 17752296 18491975 22190370 26628444 29587160 33285555 36983950 44380740 53256888 55475925 66571110 73967900 88761480 110951850 133142220 147935800 166427775 221903700 266284440 332855550 443807400 665711100 1331422200