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2252331000 = 233253250259
BaseRepresentation
bin1000011000111111…
…1101011111111000
312210222011021021200
42012033331133320
514103044043000
61011255134200
7106546332453
oct20617753770
95728137250
102252331000
11a56422687
1252a374360
1329b824a4a
141751c049a
15d2b07500
hex863fd7f8

2252331000 has 96 divisors (see below), whose sum is σ = 7612909200. Its totient is φ = 600619200.

The previous prime is 2252330989. The next prime is 2252331047. The reversal of 2252331000 is 1332522.

It is a super-2 number, since 2×22523310002 = 10145989867122000000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 116130 + ... + 134129.

Almost surely, 22252331000 is an apocalyptic number.

2252331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252331000 is an abundant number, since it is smaller than the sum of its proper divisors (5360578200).

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

2252331000 is a wasteful number, since it uses less digits than its factorization.

2252331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250286 (or 250269 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2252331000 is about 47458.7294393771. The cubic root of 2252331000 is about 1310.8230556067.

Adding to 2252331000 its reverse (1332522), we get a palindrome (2253663522).

The spelling of 2252331000 in words is "two billion, two hundred fifty-two million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 250259 500518 750777 1001036 1251295 1501554 2002072 2252331 2502590 3003108 3753885 4504662 5005180 6006216 6256475 7507770 9009324 10010360 11261655 12512950 15015540 18018648 18769425 22523310 25025900 30031080 31282375 37538850 45046620 50051800 56308275 62564750 75077700 90093240 93847125 112616550 125129500 150155400 187694250 225233100 250259000 281541375 375388500 450466200 563082750 750777000 1126165500 2252331000