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221452530 = 235132311409
BaseRepresentation
bin11010011001100…
…01100011110010
3120102200221202120
431030301203302
5423142440110
633550255110
75326213125
oct1514614362
9512627676
10221452530
11104005622
12621b7496
1336b58900
14215a83bc
1514695870
hexd3318f2

221452530 has 96 divisors (see below), whose sum is σ = 594501120. Its totient is φ = 52715520.

The previous prime is 221452529. The next prime is 221452589. The reversal of 221452530 is 35254122.

221452530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221452530.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156466 + ... + 157874.

It is an arithmetic number, because the mean of its divisors is an integer number (6192720).

Almost surely, 2221452530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221452530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297250560).

221452530 is an abundant number, since it is smaller than the sum of its proper divisors (373048590).

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

221452530 is a wasteful number, since it uses less digits than its factorization.

221452530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 221452530 is about 14881.2811948434. The cubic root of 221452530 is about 605.0067435443.

The spelling of 221452530 in words is "two hundred twenty-one million, four hundred fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 169 186 195 310 338 390 403 465 507 806 845 930 1014 1209 1409 1690 2015 2418 2535 2818 4030 4227 5070 5239 6045 7045 8454 10478 12090 14090 15717 18317 21135 26195 31434 36634 42270 43679 52390 54951 78585 87358 91585 109902 131037 157170 183170 218395 238121 262074 274755 436790 476242 549510 567827 655185 714363 1135654 1190605 1310370 1428726 1703481 2381210 2839135 3406962 3571815 5678270 7143630 7381751 8517405 14763502 17034810 22145253 36908755 44290506 73817510 110726265 221452530