Search a number
-
+
221670126756 = 223213473654117
BaseRepresentation
bin1100111001110010010…
…0011011010010100100
3210012011120110011221200
43032130210123102210
512112440023024011
6245500040042500
722005122663061
oct3163444332244
9705146404850
10221670126756
118601200a171
1236b64a63430
1317b98a13ca0
14aa2c113c68
155b75b42856
hex339c91b4a4

221670126756 has 36 divisors (see below), whose sum is σ = 603435346332. Its totient is φ = 68206192704.

The previous prime is 221670126751. The next prime is 221670126793. The reversal of 221670126756 is 657621076122.

It can be written as a sum of positive squares in 2 ways, for example, as 37242824256 + 184427302500 = 192984^2 + 429450^2 .

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

It is a super-2 number, since 2×2216701267562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221670126751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236826591 + ... + 236827526.

Almost surely, 2221670126756 is an apocalyptic number.

221670126756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

221670126756 is an abundant number, since it is smaller than the sum of its proper divisors (381765219576).

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

221670126756 is a wasteful number, since it uses less digits than its factorization.

221670126756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473654140 (or 473654135 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 221670126756 in words is "two hundred twenty-one billion, six hundred seventy million, one hundred twenty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 473654117 947308234 1420962351 1894616468 2841924702 4262887053 5683849404 6157503521 8525774106 12315007042 17051548212 18472510563 24630014084 36945021126 55417531689 73890042252 110835063378 221670126756