Search a number
-
+
2215532480 = 26571773797
BaseRepresentation
bin1000010000001110…
…0101011111000000
312201101220201012112
42010003211133000
514014134014410
61003502314452
7105621500240
oct20403453700
95641821175
102215532480
11a37679387
12519b88a28
1329400c485
14170361b20
15ce789105
hex840e57c0

2215532480 has 224 divisors, whose sum is σ = 6479657856. Its totient is φ = 704249856.

The previous prime is 2215532479. The next prime is 2215532489. The reversal of 2215532480 is 842355122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215532489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2779442 + ... + 2780238.

It is an arithmetic number, because the mean of its divisors is an integer number (28927044).

Almost surely, 22215532480 is an apocalyptic number.

2215532480 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 2215532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239828928).

2215532480 is an abundant number, since it is smaller than the sum of its proper divisors (4264125376).

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

2215532480 is a wasteful number, since it uses less digits than its factorization.

2215532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2215532480 is about 47069.4431664535. The cubic root of 2215532480 is about 1303.6450914146.

The spelling of 2215532480 in words is "two billion, two hundred fifteen million, five hundred thirty-two thousand, four hundred eighty".