Search a number
-
+
2228735776176 = 243471319019941
BaseRepresentation
bin100000011011101011000…
…000010001010110110000
321220001202102120012210000
4200123223000101112300
5243003422324314201
64423511142310000
7320010102344130
oct40335300212660
97801672505700
102228735776176
1178a224273a38
122bbb3b128300
131322270587b0
1479c2b12cac0
153ce940a5d86
hex206eb0115b0

2228735776176 has 400 divisors, whose sum is σ = 7944185164608. Its totient is φ = 587430144000.

The previous prime is 2228735776151. The next prime is 2228735776193. The reversal of 2228735776176 is 6716775378222.

It is a happy number.

2228735776176 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 7 + 3 + 5 + 7 + 7 + 617 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224191366 + ... + 224201306.

Almost surely, 22228735776176 is an apocalyptic number.

2228735776176 is a gapful number since it is divisible by the number (26) 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 2228735776176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972092582304).

2228735776176 is an abundant number, since it is smaller than the sum of its proper divisors (5715449388432).

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

2228735776176 is a wasteful number, since it uses less digits than its factorization.

2228735776176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11882 (or 11867 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 2228735776176 in words is "two trillion, two hundred twenty-eight billion, seven hundred thirty-five million, seven hundred seventy-six thousand, one hundred seventy-six".