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206225152 = 287157733
BaseRepresentation
bin11000100101010…
…11111100000000
3112101001022201121
430102223330000
5410243201102
632244042024
75052612340
oct1422537400
9471038647
10206225152
11a6455011
1259093314
1333956923
141d562d20
1513188b37
hexc4abf00

206225152 has 72 divisors (see below), whose sum is σ = 474093536. Its totient is φ = 87699456.

The previous prime is 206225137. The next prime is 206225167. The reversal of 206225152 is 251522602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206225137) and next prime (206225167).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280978 + ... + 281710.

Almost surely, 2206225152 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 206225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237046768).

206225152 is an abundant number, since it is smaller than the sum of its proper divisors (267868384).

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

206225152 is an equidigital number, since it uses as much as digits as its factorization.

206225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 206225152 is about 14360.5414939688. The cubic root of 206225152 is about 590.8091473875.

Adding to 206225152 its reverse (251522602), we get a palindrome (457747754).

The spelling of 206225152 in words is "two hundred six million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 448 628 733 896 1099 1256 1466 1792 2198 2512 2932 4396 5024 5131 5864 8792 10048 10262 11728 17584 20096 20524 23456 35168 40192 41048 46912 70336 82096 93824 115081 140672 164192 187648 230162 281344 328384 460324 656768 805567 920648 1313536 1611134 1841296 3222268 3682592 6444536 7365184 12889072 14730368 25778144 29460736 51556288 103112576 206225152