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157117212 = 22337613407
BaseRepresentation
bin10010101110101…
…10101100011100
3101221122101022000
421113112230130
5310210222322
623331322300
73615321450
oct1127265434
9357571260
10157117212
118076353a
1244750390
1326721585
1416c1c660
15dbd83ac
hex95d6b1c

157117212 has 96 divisors (see below), whose sum is σ = 473303040. Its totient is φ = 44141760.

The previous prime is 157117189. The next prime is 157117229. The reversal of 157117212 is 212711751.

157117212 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44413 + ... + 47819.

It is an arithmetic number, because the mean of its divisors is an integer number (4930240).

Almost surely, 2157117212 is an apocalyptic number.

157117212 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 157117212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236651520).

157117212 is an abundant number, since it is smaller than the sum of its proper divisors (316185828).

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

157117212 is a wasteful number, since it uses less digits than its factorization.

157117212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3480 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 157117212 is about 12534.6404814817. The cubic root of 157117212 is about 539.6032888744.

Adding to 157117212 its reverse (212711751), we get a palindrome (369828963).

The spelling of 157117212 in words is "one hundred fifty-seven million, one hundred seventeen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 427 549 732 756 854 1098 1281 1647 1708 2196 2562 3294 3407 3843 5124 6588 6814 7686 10221 11529 13628 15372 20442 23058 23849 30663 40884 46116 47698 61326 71547 91989 95396 122652 143094 183978 207827 214641 286188 367956 415654 429282 623481 643923 831308 858564 1246962 1287846 1454789 1870443 2493924 2575692 2909578 3740886 4364367 5611329 5819156 7481772 8728734 11222658 13093101 17457468 22445316 26186202 39279303 52372404 78558606 157117212