Search a number
-
+
221169270000 = 2435478312689
BaseRepresentation
bin1100110111111010110…
…1110011110011110000
3210010212200000000122110
43031332231303303300
512110423313120000
6245334225005320
721656531530230
oct3157655636360
9703780000573
10221169270000
1185885318068
1236a45183840
1317b1901bc43
14a9c17b7cc0
155b46baa850
hex337eb73cf0

221169270000 has 400 divisors, whose sum is σ = 825854641920. Its totient is φ = 49939968000.

The previous prime is 221169269987. The next prime is 221169270013. The reversal of 221169270000 is 72961122.

It is an interprime number because it is at equal distance from previous prime (221169269987) and next prime (221169270013).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 221169270000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17423656 + ... + 17436344.

Almost surely, 2221169270000 is an apocalyptic number.

221169270000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221169270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412927320960).

221169270000 is an abundant number, since it is smaller than the sum of its proper divisors (604685371920).

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

221169270000 is a wasteful number, since it uses less digits than its factorization.

221169270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12810 (or 12789 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 221169270000 in words is "two hundred twenty-one billion, one hundred sixty-nine million, two hundred seventy thousand".