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2255100000 = 253557517
BaseRepresentation
bin1000011001101010…
…0001100001100000
312211011100221122020
42012122201201200
514104301200000
61011434341440
7106612014366
oct20632414140
95734327566
102255100000
11a57a4400a
1252b28a880
1329c2841ca
14175701636
15d2ea2ba0
hex866a1860

2255100000 has 144 divisors (see below), whose sum is σ = 7400057616. Its totient is φ = 601280000.

The previous prime is 2255099969. The next prime is 2255100037. The reversal of 2255100000 is 15522.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 296242 + ... + 303758.

It is an arithmetic number, because the mean of its divisors is an integer number (51389289).

Almost surely, 22255100000 is an apocalyptic number.

2255100000 is a gapful number since it is divisible by the number (20) 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 2255100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700028808).

2255100000 is an abundant number, since it is smaller than the sum of its proper divisors (5144957616).

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

2255100000 is an frugal number, since it uses more digits than its factorization.

2255100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2255100000 is about 47487.8931939500. The cubic root of 2255100000 is about 1311.3600078613.

Adding to 2255100000 its reverse (15522), we get a palindrome (2255115522).

The spelling of 2255100000 in words is "two billion, two hundred fifty-five million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 7517 9375 10000 12000 12500 15000 15034 18750 20000 22551 25000 30000 30068 37500 37585 45102 50000 60000 60136 75000 75170 90204 100000 112755 120272 150000 150340 180408 187925 225510 240544 300000 300680 360816 375850 451020 563775 601360 721632 751700 902040 939625 1127550 1202720 1503400 1804080 1879250 2255100 2818875 3006800 3608160 3758500 4510200 4698125 5637750 6013600 7517000 9020400 9396250 11275500 14094375 15034000 18040800 18792500 22551000 23490625 28188750 30068000 37585000 45102000 46981250 56377500 70471875 75170000 90204000 93962500 112755000 140943750 150340000 187925000 225510000 281887500 375850000 451020000 563775000 751700000 1127550000 2255100000