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2213372448 = 253271097903
BaseRepresentation
bin1000001111101101…
…0110001000100000
312201020211222012100
42003323112020200
514013110404243
61003344130400
7105564232620
oct20373261040
95636758170
102213372448
11a36433531
12519306a00
13293734251
1416dd5c880
15ce4ae0d3
hex83ed6220

2213372448 has 72 divisors (see below), whose sum is σ = 7193467008. Its totient is φ = 632391552.

The previous prime is 2213372429. The next prime is 2213372461. The reversal of 2213372448 is 8442733122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546936 + ... + 550967.

It is an arithmetic number, because the mean of its divisors is an integer number (99909264).

Almost surely, 22213372448 is an apocalyptic number.

2213372448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2213372448 is an abundant number, since it is smaller than the sum of its proper divisors (4980094560).

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

2213372448 is a wasteful number, since it uses less digits than its factorization.

2213372448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097926 (or 1097915 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2213372448 is about 47046.4924091053. The cubic root of 2213372448 is about 1303.2212910024.

The spelling of 2213372448 in words is "two billion, two hundred thirteen million, three hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1097903 2195806 3293709 4391612 6587418 7685321 8783224 9881127 13174836 15370642 17566448 19762254 23055963 26349672 30741284 35132896 39524508 46111926 52699344 61482568 69167889 79049016 92223852 105398688 122965136 138335778 158098032 184447704 245930272 276671556 316196064 368895408 553343112 737790816 1106686224 2213372448