Search a number
-
+
2153345220 = 2232513920233
BaseRepresentation
bin1000000001011001…
…0111000011000100
312120001220021022200
42000112113003010
513402224021340
6553401354500
7104235063255
oct20026270304
95501807280
102153345220
11a05564154
12501198a30
13284177a90
14165db4b2c
15c90a3330
hex805970c4

2153345220 has 72 divisors (see below), whose sum is σ = 7034268696. Its totient is φ = 530053632.

The previous prime is 2153345191. The next prime is 2153345231. The reversal of 2153345220 is 225433512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 145588356 + 2007756864 = 12066^2 + 44808^2 .

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, 457777 + ... + 462456.

Almost surely, 22153345220 is an apocalyptic number.

2153345220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153345220 is an abundant number, since it is smaller than the sum of its proper divisors (4880923476).

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

2153345220 is a wasteful number, since it uses less digits than its factorization.

2153345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920261 (or 920256 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2153345220 is about 46404.1508919191. The cubic root of 2153345220 is about 1291.3319215990.

Adding to 2153345220 its reverse (225433512), we get a palindrome (2378778732).

The spelling of 2153345220 in words is "two billion, one hundred fifty-three million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 920233 1840466 2760699 3680932 4601165 5521398 8282097 9202330 11042796 11963029 13803495 16564194 18404660 23926058 27606990 33128388 35889087 41410485 47852116 55213980 59815145 71778174 82820970 107667261 119630290 143556348 165641940 179445435 215334522 239260580 358890870 430669044 538336305 717781740 1076672610 2153345220