Search a number
-
+
221652234312340 = 22513852508593509
BaseRepresentation
bin110010011001011101101110…
…101100001001101010010100
31002001210202011022110001011011
4302121131232230021222110
5213023022233440443330
62103225344123022004
764454562665304406
oct6231355654115224
91061722138401134
10221652234312340
1164697203897847
1220a3983096a904
13968a9400c1a70
143ca404d90cb76
151a95a3b0e782a
hexc9976eb09a94

221652234312340 has 24 divisors (see below), whose sum is σ = 501275052983880. Its totient is φ = 81840824976768.

The previous prime is 221652234312337. The next prime is 221652234312347. The reversal of 221652234312340 is 43213432256122.

221652234312340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 347397075216 + 221304837237124 = 589404^2 + 14876318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221652234312293 and 221652234312302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221652234312347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426254296495 + ... + 426254297014.

It is an arithmetic number, because the mean of its divisors is an integer number (20886460540995).

Almost surely, 2221652234312340 is an apocalyptic number.

221652234312340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221652234312340 is an abundant number, since it is smaller than the sum of its proper divisors (279622818671540).

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

221652234312340 is a wasteful number, since it uses less digits than its factorization.

221652234312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852508593531 (or 852508593529 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 221652234312340 its reverse (43213432256122), we get a palindrome (264865666568462).

The spelling of 221652234312340 in words is "two hundred twenty-one trillion, six hundred fifty-two billion, two hundred thirty-four million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 852508593509 1705017187018 3410034374036 4262542967545 8525085935090 11082611715617 17050171870180 22165223431234 44330446862468 55413058578085 110826117156170 221652234312340