Search a number
-
+
2228060138976 = 253471989101719
BaseRepresentation
bin100000011011000010101…
…110111010110111100000
321220000000100020021210000
4200123002232322313200
5243001031343421401
64423320125140000
7316654256462310
oct40330256726740
97800010207700
102228060138976
11789a07954791
122bb9909ba600
1313214a099579
1479ba54d7440
153ce54ae7186
hex206c2bbade0

2228060138976 has 960 divisors, whose sum is σ = 8061596928000. Its totient is φ = 589582540800.

The previous prime is 2228060138939. The next prime is 2228060138977. The reversal of 2228060138976 is 6798310608222.

2228060138976 is a `hidden beast` number, since 2 + 2 + 28 + 0 + 601 + 3 + 8 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228060138977) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3098831545 + ... + 3098832263.

It is an arithmetic number, because the mean of its divisors is an integer number (8397496800).

Almost surely, 22228060138976 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 2228060138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030798464000).

2228060138976 is an abundant number, since it is smaller than the sum of its proper divisors (5833536789024).

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

2228060138976 is a wasteful number, since it uses less digits than its factorization.

2228060138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2228060138976 in words is "two trillion, two hundred twenty-eight billion, sixty million, one hundred thirty-eight thousand, nine hundred seventy-six".