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1225199800 = 2352111929311
BaseRepresentation
bin100100100000111…
…0001000010111000
310011101102121011101
41021001301002320
510002122343200
6321324141144
742235012036
oct11101610270
93141377141
101225199800
11579658820
122a23977b4
13166aa85c6
14b8a0d556
157286726a
hex490710b8

1225199800 has 96 divisors (see below), whose sum is σ = 3271219200. Its totient is φ = 422064000.

The previous prime is 1225199797. The next prime is 1225199863. The reversal of 1225199800 is 89915221.

It is a super-2 number, since 2×12251998002 = 3002229099840080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1225199800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27145 + ... + 56455.

It is an arithmetic number, because the mean of its divisors is an integer number (34075200).

Almost surely, 21225199800 is an apocalyptic number.

1225199800 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 1225199800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635609600).

1225199800 is an abundant number, since it is smaller than the sum of its proper divisors (2046019400).

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

1225199800 is a wasteful number, since it uses less digits than its factorization.

1225199800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29348 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 1225199800 is about 35002.8541693388. The cubic root of 1225199800 is about 1070.0456497833.

The spelling of 1225199800 in words is "one billion, two hundred twenty-five million, one hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 29311 41800 58622 117244 146555 234488 293110 322421 556909 586220 644842 732775 1113818 1172440 1289684 1465550 1612105 2227636 2579368 2784545 2931100 3224210 4455272 5569090 5862200 6125999 6448420 8060525 11138180 12251998 12896840 13922725 16121050 22276360 24503996 27845450 30629995 32242100 49007992 55690900 61259990 64484200 111381800 122519980 153149975 245039960 306299950 612599900 1225199800