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2213375472 = 2432721128517
BaseRepresentation
bin1000001111101101…
…0110110111110000
312201020212010100100
42003323112313300
514013111003342
61003344152400
7105564244500
oct20373266760
95636763310
102213375472
11a36435830
12519308700
13293735739
1416dd5da00
15ce4aee4c
hex83ed6df0

2213375472 has 180 divisors, whose sum is σ = 7861043736. Its totient is φ = 574882560.

The previous prime is 2213375471. The next prime is 2213375551. The reversal of 2213375472 is 2745733122.

2213375472 is a `hidden beast` number, since 2 + 213 + 375 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213375471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63358 + ... + 91874.

Almost surely, 22213375472 is an apocalyptic number.

2213375472 is a gapful number since it is divisible by the number (22) 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 2213375472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930521868).

2213375472 is an abundant number, since it is smaller than the sum of its proper divisors (5647668264).

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

2213375472 is a wasteful number, since it uses less digits than its factorization.

2213375472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28556 (or 28540 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 2213375472 is about 47046.5245475157. The cubic root of 2213375472 is about 1303.2218845069.

The spelling of 2213375472 in words is "two billion, two hundred thirteen million, three hundred seventy-five thousand, four hundred seventy-two".