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206152152 = 233471791021
BaseRepresentation
bin11000100100110…
…10000111011000
3112100220121120220
430102122013120
5410233332102
632242320040
75052156453
oct1422320730
9470817526
10206152152
11a6405188
1259059020
133392c62b
141d54449a
15131721bc
hexc49a1d8

206152152 has 64 divisors (see below), whose sum is σ = 529804800. Its totient is φ = 66814080.

The previous prime is 206152091. The next prime is 206152153. The reversal of 206152152 is 251251602.

It is a happy number.

It is a super-2 number, since 2×2061521522 = 84997419548462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206152153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201402 + ... + 202422.

It is an arithmetic number, because the mean of its divisors is an integer number (8278200).

Almost surely, 2206152152 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 206152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264902400).

206152152 is an abundant number, since it is smaller than the sum of its proper divisors (323652648).

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

206152152 is a wasteful number, since it uses less digits than its factorization.

206152152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 206152152 is about 14357.9995821145. Note that the first 3 decimals coincide. The cubic root of 206152152 is about 590.7394272178.

The spelling of 206152152 in words is "two hundred six million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 179 188 282 358 376 537 564 716 1021 1074 1128 1432 2042 2148 3063 4084 4296 6126 8168 8413 12252 16826 24504 25239 33652 47987 50478 67304 95974 100956 143961 182759 191948 201912 287922 365518 383896 548277 575844 731036 1096554 1151688 1462072 2193108 4386216 8589673 17179346 25769019 34358692 51538038 68717384 103076076 206152152