Search a number
-
+
2068225200 = 243252574507
BaseRepresentation
bin111101101000110…
…1001110010110000
312100010201201121100
41323101221302300
513213431201300
6541121124400
7102152424036
oct17321516260
95303651540
102068225200
11971506228
12498789700
1326c6440c2
14158978556
15c188c700
hex7b469cb0

2068225200 has 90 divisors (see below), whose sum is σ = 7177328444. Its totient is φ = 551525760.

The previous prime is 2068225163. The next prime is 2068225241. The reversal of 2068225200 is 25228602.

2068225200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 283654 + ... + 290853.

Almost surely, 22068225200 is an apocalyptic number.

2068225200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068225200 is an abundant number, since it is smaller than the sum of its proper divisors (5109103244).

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

2068225200 is a wasteful number, since it uses less digits than its factorization.

2068225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574531 (or 574517 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2068225200 is about 45477.7440073713. The cubic root of 2068225200 is about 1274.0875594031.

The spelling of 2068225200 in words is "two billion, sixty-eight million, two hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 574507 1149014 1723521 2298028 2872535 3447042 4596056 5170563 5745070 6894084 8617605 9192112 10341126 11490140 13788168 14362675 17235210 20682252 22980280 25852815 27576336 28725350 34470420 41364504 43088025 45960560 51705630 57450700 68940840 82729008 86176050 103411260 114901400 129264075 137881680 172352100 206822520 229802800 258528150 344704200 413645040 517056300 689408400 1034112600 2068225200