Search a number
-
+
22669113780 = 22325125939521
BaseRepresentation
bin10101000111001011…
…110011100110110100
32011111211221022000200
4111013023303212310
5332411243120110
614225233440500
71431522200505
oct250713634664
964454838020
1022669113780
11968313a785
124487a10130
1321a3668bc1
141150998bac
158ca24e6c0
hex5472f39b4

22669113780 has 36 divisors (see below), whose sum is σ = 68762979012. Its totient is φ = 6045096960.

The previous prime is 22669113757. The next prime is 22669113781. The reversal of 22669113780 is 8731196622.

22669113780 is a `hidden beast` number, since 2 + 266 + 9 + 11 + 378 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10451790756 + 12217323024 = 102234^2 + 110532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22669113781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62969581 + ... + 62969940.

Almost surely, 222669113780 is an apocalyptic number.

22669113780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22669113780 is an abundant number, since it is smaller than the sum of its proper divisors (46093865232).

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

22669113780 is a wasteful number, since it uses less digits than its factorization.

22669113780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125939536 (or 125939531 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 226691 and 13780, that added together give a triangular number (240471 = T693).

The spelling of 22669113780 in words is "twenty-two billion, six hundred sixty-nine million, one hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 125939521 251879042 377818563 503758084 629697605 755637126 1133455689 1259395210 1511274252 1889092815 2266911378 2518790420 3778185630 4533822756 5667278445 7556371260 11334556890 22669113780