Search a number
-
+
22187413248 = 2837311131931
BaseRepresentation
bin10100101010011110…
…010000111100000000
32010021021112101010020
4110222132100330000
5330414434210443
614105345133440
71413552621000
oct245236207400
963237471106
1022187413248
119456241a70
12437262a280
1321279201c0
141106a08000
1589cced583
hex52a790f00

22187413248 has 1152 divisors, whose sum is σ = 87908352000. Its totient is φ = 4877107200.

The previous prime is 22187413189. The next prime is 22187413271. The reversal of 22187413248 is 84231478122.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 715722993 + ... + 715723023.

Almost surely, 222187413248 is an apocalyptic number.

22187413248 is a gapful number since it is divisible by the number (28) 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 22187413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43954176000).

22187413248 is an abundant number, since it is smaller than the sum of its proper divisors (65720938752).

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

22187413248 is a wasteful number, since it uses less digits than its factorization.

22187413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The spelling of 22187413248 in words is "twenty-two billion, one hundred eighty-seven million, four hundred thirteen thousand, two hundred forty-eight".