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2053553202 = 2331072931213
BaseRepresentation
bin111101001100110…
…1011110000110010
312022010010022102000
41322121223300302
513201202200302
6535434434430
7101613625401
oct17231536062
95263108360
102053553202
119641a4a08
12493892a16
132695a7b4c
14156a39638
15c044031c
hex7a66bc32

2053553202 has 64 divisors (see below), whose sum is σ = 4625631360. Its totient is φ = 675248832.

The previous prime is 2053553179. The next prime is 2053553207. The reversal of 2053553202 is 2023553502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2053553207) 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 31 ways as a sum of consecutive naturals, for example, 1692348 + ... + 1693560.

It is an arithmetic number, because the mean of its divisors is an integer number (72275490).

Almost surely, 22053553202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053553202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312815680).

2053553202 is an abundant number, since it is smaller than the sum of its proper divisors (2572078158).

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

2053553202 is a wasteful number, since it uses less digits than its factorization.

2053553202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 2053553202 is about 45316.1472545935. The cubic root of 2053553202 is about 1271.0676128208.

It can be divided in two parts, 20535 and 53202, that added together give a palindrome (73737).

The spelling of 2053553202 in words is "two billion, fifty-three million, five hundred fifty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 107 214 293 321 586 642 879 963 1213 1758 1926 2426 2637 2889 3639 5274 5778 7278 7911 10917 15822 21834 31351 32751 62702 65502 94053 129791 188106 259582 282159 355409 389373 564318 710818 778746 846477 1066227 1168119 1692954 2132454 2336238 3198681 3504357 6397362 7008714 9596043 19192086 38028763 76057526 114086289 228172578 342258867 684517734 1026776601 2053553202