Search a number
-
+
213272170596 = 223219240512
BaseRepresentation
bin1100011010100000000…
…0110001000001100100
3202101111022012210211100
43012220000301001210
511443240133424341
6241550442440100
721260040352632
oct3065000610144
9671438183740
10213272170596
11824a2642431
1235400503030
131715abc6964
14a472a58352
1558337393b6
hex31a8031064

213272170596 has 81 divisors (see below), whose sum is σ = 569112434163. Its totient is φ = 67332481200.

The previous prime is 213272170519. The next prime is 213272170597. The reversal of 213272170596 is 695071272312.

It is a happy number.

The square root of 213272170596 is 461814.

It is a perfect power (a square), and thus also a powerful number.

213272170596 is a `hidden beast` number, since 2 + 1 + 32 + 7 + 21 + 7 + 0 + 596 = 666.

It is not an unprimeable number, because it can be changed into a prime (213272170597) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52644771 + ... + 52648821.

Almost surely, 2213272170596 is an apocalyptic number.

213272170596 is the 461814-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213272170596

213272170596 is an abundant number, since it is smaller than the sum of its proper divisors (355840263567).

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

213272170596 is an equidigital number, since it uses as much as digits as its factorization.

213272170596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 213272170596 in words is "two hundred thirteen billion, two hundred seventy-two million, one hundred seventy thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4051 4332 6498 8102 12153 12996 16204 24306 36459 48612 72918 76969 145836 153938 230907 307876 461814 692721 923628 1385442 1462411 2770884 2924822 4387233 5849644 8774466 13161699 16410601 17548932 26323398 32821202 49231803 52646796 65642404 98463606 147695409 196927212 295390818 311801419 590781636 623602838 935404257 1247205676 1870808514 2806212771 3741617028 5612425542 5924226961 11224851084 11848453922 17772680883 23696907844 35545361766 53318042649 71090723532 106636085298 213272170596