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1383225800 = 2352115311863
BaseRepresentation
bin101001001110010…
…0101100111001000
310120101210011002012
41102130211213020
510313101211200
6345131155052
746164140165
oct12234454710
93511704065
101383225800
1164a882020
123272a5a88
13190757708
14d19c706c
158167ea35
hex527259c8

1383225800 has 96 divisors (see below), whose sum is σ = 3574860480. Its totient is φ = 493459200.

The previous prime is 1383225749. The next prime is 1383225817. The reversal of 1383225800 is 85223831.

It is a super-2 number, since 2×13832258002 = 3826627227571280000, which contains 22 as substring.

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, 110669 + ... + 122531.

It is an arithmetic number, because the mean of its divisors is an integer number (37238130).

Almost surely, 21383225800 is an apocalyptic number.

1383225800 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 1383225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787430240).

1383225800 is an abundant number, since it is smaller than the sum of its proper divisors (2191634680).

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

1383225800 is a wasteful number, since it uses less digits than its factorization.

1383225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11943 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1383225800 is about 37191.7437074413. The cubic root of 1383225800 is about 1114.2030944346.

The spelling of 1383225800 in words is "one billion, three hundred eighty-three million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 200 212 220 265 275 424 440 530 550 583 1060 1100 1166 1325 2120 2200 2332 2650 2915 4664 5300 5830 10600 11660 11863 14575 23320 23726 29150 47452 58300 59315 94904 116600 118630 130493 237260 260986 296575 474520 521972 593150 628739 652465 1043944 1186300 1257478 1304930 2372600 2514956 2609860 3143695 3262325 5029912 5219720 6287390 6524650 6916129 12574780 13049300 13832258 15718475 25149560 26098600 27664516 31436950 34580645 55329032 62873900 69161290 125747800 138322580 172903225 276645160 345806450 691612900 1383225800