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195212952 = 233211317951
BaseRepresentation
bin10111010001010…
…11011010011000
3111121022211211100
423220223122120
5344433303302
631212031400
74560165654
oct1350533230
9447284740
10195212952
11a0213420
1255462560
133159c42c
141bcd7a64
1512210d1c
hexba2b698

195212952 has 96 divisors (see below), whose sum is σ = 595445760. Its totient is φ = 57240000.

The previous prime is 195212947. The next prime is 195212959. The reversal of 195212952 is 259212591.

It is a happy number.

195212952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195212959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20577 + ... + 28527.

It is an arithmetic number, because the mean of its divisors is an integer number (6202560).

Almost surely, 2195212952 is an apocalyptic number.

195212952 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 195212952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297722880).

195212952 is an abundant number, since it is smaller than the sum of its proper divisors (400232808).

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

195212952 is a wasteful number, since it uses less digits than its factorization.

195212952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7998 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 195212952 is about 13971.8628679214. The cubic root of 195212952 is about 580.1000144609.

The spelling of 195212952 in words is "one hundred ninety-five million, two hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 7951 8184 12276 15902 23853 24552 31804 47706 63608 71559 87461 95412 143118 174922 190824 246481 262383 286236 349844 492962 524766 572472 699688 739443 787149 985924 1049532 1478886 1574298 1971848 2099064 2218329 2711291 2957772 3148596 4436658 5422582 5915544 6297192 8133873 8873316 10845164 16267746 17746632 21690328 24401619 32535492 48803238 65070984 97606476 195212952