Search a number
-
+
2253421600 = 25522816777
BaseRepresentation
bin1000011001010000…
…0111110000100000
312211001012200022021
42012110013300200
514103333442400
61011334351224
7106561524163
oct20624076040
95731180267
102253421600
11a56aa8001
1252a7bb514
1329bb17281
141753c5ada
15d2c7071a
hex86507c20

2253421600 has 36 divisors (see below), whose sum is σ = 5501167434. Its totient is φ = 901368320.

The previous prime is 2253421571. The next prime is 2253421613. The reversal of 2253421600 is 61243522.

It can be written as a sum of positive squares in 3 ways, for example, as 1685266704 + 568154896 = 41052^2 + 23836^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 1407589 + ... + 1409188.

Almost surely, 22253421600 is an apocalyptic number.

2253421600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253421600 is an abundant number, since it is smaller than the sum of its proper divisors (3247745834).

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

2253421600 is a wasteful number, since it uses less digits than its factorization.

2253421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816797 (or 2816784 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2253421600 is about 47470.2180319408. The cubic root of 2253421600 is about 1311.0345924467.

The spelling of 2253421600 in words is "two billion, two hundred fifty-three million, four hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2816777 5633554 11267108 14083885 22534216 28167770 45068432 56335540 70419425 90136864 112671080 140838850 225342160 281677700 450684320 563355400 1126710800 2253421600