Search a number
-
+
215451432 = 233272173353
BaseRepresentation
bin11001101011110…
…00011100101000
3120000102001210200
430311320130220
5420123421212
633213512200
75224210200
oct1465703450
9500361720
10215451432
11100686939
12601a2660
1335837271
1420885400
1513dac6dc
hexcd78728

215451432 has 144 divisors (see below), whose sum is σ = 684639540. Its totient is φ = 61028352.

The previous prime is 215451403. The next prime is 215451443. The reversal of 215451432 is 234154512.

215451432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 207532836 + 7918596 = 14406^2 + 2814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 215451396 and 215451405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 610168 + ... + 610520.

Almost surely, 2215451432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215451432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342319770).

215451432 is an abundant number, since it is smaller than the sum of its proper divisors (469188108).

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

215451432 is a wasteful number, since it uses less digits than its factorization.

215451432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 215451432 is about 14678.2639300430. The cubic root of 215451432 is about 599.4916360652.

The spelling of 215451432 in words is "two hundred fifteen million, four hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 173 196 252 294 346 353 392 441 504 519 588 692 706 882 1038 1059 1176 1211 1384 1412 1557 1764 2076 2118 2422 2471 2824 3114 3177 3528 3633 4152 4236 4844 4942 6228 6354 7266 7413 8472 8477 9688 9884 10899 12456 12708 14532 14826 16954 17297 19768 21798 22239 25416 25431 29064 29652 33908 34594 43596 44478 50862 51891 59304 61069 67816 69188 76293 87192 88956 101724 103782 122138 138376 152586 155673 177912 183207 203448 207564 244276 305172 311346 366414 415128 427483 488552 549621 610344 622692 732828 854966 1099242 1245384 1282449 1465656 1709932 2198484 2564898 2992381 3419864 3847347 4396968 5129796 5984762 7694694 8977143 10259592 11969524 15389388 17954286 23939048 26931429 30778776 35908572 53862858 71817144 107725716 215451432