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2213475552 = 25337136083
BaseRepresentation
bin1000001111101110…
…1111010011100000
312201021001012122000
42003323233103200
514013122204202
61003350244000
7105565142331
oct20373572340
95637035560
102213475552
11a364a3a42
12519356600
1329376c162
1416dd88288
15ce4ce91c
hex83eef4e0

2213475552 has 96 divisors (see below), whose sum is σ = 6547080960. Its totient is φ = 727413120.

The previous prime is 2213475533. The next prime is 2213475553. The reversal of 2213475552 is 2555743122.

2213475552 is a `hidden beast` number, since 2 + 2 + 1 + 34 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (2213475553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43303 + ... + 79385.

It is an arithmetic number, because the mean of its divisors is an integer number (68198760).

Almost surely, 22213475552 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 2213475552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273540480).

2213475552 is an abundant number, since it is smaller than the sum of its proper divisors (4333605408).

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

2213475552 is a wasteful number, since it uses less digits than its factorization.

2213475552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36173 (or 36159 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 2213475552 is about 47047.5881634755. The cubic root of 2213475552 is about 1303.2415263740.

The spelling of 2213475552 in words is "two billion, two hundred thirteen million, four hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 36083 61344 72166 108249 144332 216498 288664 324747 432996 577328 649494 865992 974241 1154656 1298988 1731984 1948482 2561893 2597976 3463968 3896964 5123786 5195952 7685679 7793928 10247572 10391904 15371358 15587856 20495144 23057037 30742716 31175712 40990288 46114074 61485432 69171111 81980576 92228148 122970864 138342222 184456296 245941728 276684444 368912592 553368888 737825184 1106737776 2213475552