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161208252 = 22331977577
BaseRepresentation
bin10011001101111…
…01011110111100
3102020100020011000
421212331132330
5312232131002
623555130300
73665150622
oct1146753674
9366306130
10161208252
1182aa8167
1245ba3990
13275246ca
14175a5512
15e24561c
hex99bd7bc

161208252 has 48 divisors (see below), whose sum is σ = 420124320. Its totient is φ = 53456256.

The previous prime is 161208251. The next prime is 161208253. The reversal of 161208252 is 252802161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (161208251) and next prime (161208253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161208251) 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, 17488 + ... + 25064.

It is an arithmetic number, because the mean of its divisors is an integer number (8752590).

Almost surely, 2161208252 is an apocalyptic number.

161208252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161208252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210062160).

161208252 is an abundant number, since it is smaller than the sum of its proper divisors (258916068).

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

161208252 is a wasteful number, since it uses less digits than its factorization.

161208252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7787 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 161208252 is about 12696.7811668942. The cubic root of 161208252 is about 544.2466397110.

The spelling of 161208252 in words is "one hundred sixty-one million, two hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 7577 10638 15154 21276 22731 30308 45462 68193 90924 136386 204579 272772 409158 818316 1492669 2985338 4478007 5970676 8956014 13434021 17912028 26868042 40302063 53736084 80604126 161208252