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2205075552 = 253192941687
BaseRepresentation
bin1000001101101110…
…1100100001100000
312200200020102222220
42003123230201200
514003444404202
61002450231040
7105433555461
oct20333544140
95620212886
102205075552
11a31786999
12516585480
13291aba944
1416cbdcd68
15cd8c0abc
hex836ec860

2205075552 has 96 divisors (see below), whose sum is σ = 6303225600. Its totient is φ = 672311808.

The previous prime is 2205075451. The next prime is 2205075553. The reversal of 2205075552 is 2555705022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205075553) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32053 + ... + 73739.

It is an arithmetic number, because the mean of its divisors is an integer number (65658600).

Almost surely, 22205075552 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 2205075552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151612800).

2205075552 is an abundant number, since it is smaller than the sum of its proper divisors (4098150048).

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

2205075552 is a wasteful number, since it uses less digits than its factorization.

2205075552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41748 (or 41740 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 33.

The square root of 2205075552 is about 46958.2319939752. The cubic root of 2205075552 is about 1301.5908634462.

The spelling of 2205075552 in words is "two billion, two hundred five million, seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1392 1653 1824 2204 2784 3306 4408 6612 8816 13224 17632 26448 41687 52896 83374 125061 166748 250122 333496 500244 666992 792053 1000488 1208923 1333984 1584106 2000976 2376159 2417846 3168212 3626769 4001952 4752318 4835692 6336424 7253538 9504636 9671384 12672848 14507076 19009272 19342768 22969537 25345696 29014152 38018544 38685536 45939074 58028304 68908611 76037088 91878148 116056608 137817222 183756296 275634444 367512592 551268888 735025184 1102537776 2205075552