Search a number
-
+
88223616 = 27321343137
BaseRepresentation
bin1010100001000…
…10111110000000
320011000020001100
411100202332000
5140041123431
612430534400
72120613465
oct520427600
9204006040
1088223616
1145888788
1225667400
131537c530
14ba0766c
157b2a4e6
hex5422f80

88223616 has 192 divisors, whose sum is σ = 281801520. Its totient is φ = 26320896.

The previous prime is 88223579. The next prime is 88223621. The reversal of 88223616 is 61632288.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643900 + ... + 644036.

Almost surely, 288223616 is an apocalyptic number.

88223616 is a gapful number since it is divisible by the number (86) 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 88223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140900760).

88223616 is an abundant number, since it is smaller than the sum of its proper divisors (193577904).

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

88223616 is a wasteful number, since it uses less digits than its factorization.

88223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 88223616 is about 9392.7427304276. The cubic root of 88223616 is about 445.1724551461.

The spelling of 88223616 in words is "eighty-eight million, two hundred twenty-three thousand, six hundred sixteen".