Search a number
-
+
2213376508980 = 22335713223199757
BaseRepresentation
bin100000001101010111100…
…001010100010000110100
321211121010000101121011000
4200031113201110100310
5242230443341241410
64412451112043300
7315624350622360
oct40152741242064
97747100347130
102213376508980
1178376237818a
122b8b73393530
13130949c60400
14791b13082a0
153c895976dc0
hex20357854434

2213376508980 has 1152 divisors, whose sum is σ = 8948717568000. Its totient is φ = 443862042624.

The previous prime is 2213376508979. The next prime is 2213376509021. The reversal of 2213376508980 is 898056733122.

2213376508980 is a `hidden beast` number, since 2 + 2 + 13 + 37 + 6 + 508 + 98 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2923878762 + ... + 2923879518.

It is an arithmetic number, because the mean of its divisors is an integer number (7767984000).

Almost surely, 22213376508980 is an apocalyptic number.

2213376508980 is a gapful number since it is divisible by the number (20) 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 2213376508980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474358784000).

2213376508980 is an abundant number, since it is smaller than the sum of its proper divisors (6735341059020).

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

2213376508980 is a wasteful number, since it uses less digits than its factorization.

2213376508980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2213376508980 in words is "two trillion, two hundred thirteen billion, three hundred seventy-six million, five hundred eight thousand, nine hundred eighty".