Search a number
-
+
2208152388 = 2231336738569
BaseRepresentation
bin1000001110011101…
…1011101101000100
312200220000202121210
42003213123231010
514010241334023
61003040211420
7105501662031
oct20347335504
95626022553
102208152388
11a33498632
12517609b70
13292627260
1416d3a0388
15cdccc593
hex839dbb44

2208152388 has 48 divisors (see below), whose sum is σ = 5563953920. Its totient is φ = 677562624.

The previous prime is 2208152381. The next prime is 2208152459. The reversal of 2208152388 is 8832518022.

It is a happy number.

2208152388 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2208152381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37968 + ... + 76536.

Almost surely, 22208152388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208152388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781976960).

2208152388 is an abundant number, since it is smaller than the sum of its proper divisors (3355801532).

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

2208152388 is a wasteful number, since it uses less digits than its factorization.

2208152388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38956 (or 38954 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2208152388 is about 46990.9819859087. The cubic root of 2208152388 is about 1302.1959705115.

The spelling of 2208152388 in words is "two billion, two hundred eight million, one hundred fifty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 367 734 1101 1468 2202 4404 4771 9542 14313 19084 28626 38569 57252 77138 115707 154276 231414 462828 501397 1002794 1504191 2005588 3008382 6016764 14154823 28309646 42464469 56619292 84928938 169857876 184012699 368025398 552038097 736050796 1104076194 2208152388