Search a number
-
+
1222368900 = 2235216572459
BaseRepresentation
bin100100011011011…
…1101111010000100
310011012002202220020
41020312331322010
510000411301100
6321143335140
742201651504
oct11066757204
93135082806
101222368900
11577aa4935
122a14514b0
13166326c0c
14b84b3a04
15724a85a0
hex48dbde84

1222368900 has 72 divisors (see below), whose sum is σ = 3540294240. Its totient is φ = 325635840.

The previous prime is 1222368899. The next prime is 1222368907. The reversal of 1222368900 is 98632221.

It is a happy number.

1222368900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1222368907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495871 + ... + 498329.

Almost surely, 21222368900 is an apocalyptic number.

1222368900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222368900 is an abundant number, since it is smaller than the sum of its proper divisors (2317925340).

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

1222368900 is a wasteful number, since it uses less digits than its factorization.

1222368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1222368900 is about 34962.3926526775. The cubic root of 1222368900 is about 1069.2208786521.

The spelling of 1222368900 in words is "one billion, two hundred twenty-two million, three hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1657 2459 3314 4918 4971 6628 7377 8285 9836 9942 12295 14754 16570 19884 24590 24855 29508 33140 36885 41425 49180 49710 61475 73770 82850 99420 122950 124275 147540 165700 184425 245900 248550 368850 497100 737700 4074563 8149126 12223689 16298252 20372815 24447378 40745630 48894756 61118445 81491260 101864075 122236890 203728150 244473780 305592225 407456300 611184450 1222368900