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215325468 = 2232171931823
BaseRepresentation
bin11001101010110…
…01101100011100
3120000011200000100
430311121230130
5420110403333
633211101100
75223144021
oct1465315434
9500150010
10215325468
11100600236
1260141790
13357c1b27
1420851548
1513d85213
hexcd59b1c

215325468 has 72 divisors (see below), whose sum is σ = 579616128. Its totient is φ = 67166208.

The previous prime is 215325449. The next prime is 215325479. The reversal of 215325468 is 864523512.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117205 + ... + 119027.

It is an arithmetic number, because the mean of its divisors is an integer number (8050224).

Almost surely, 2215325468 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 215325468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289808064).

215325468 is an abundant number, since it is smaller than the sum of its proper divisors (364290660).

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

215325468 is a wasteful number, since it uses less digits than its factorization.

215325468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2038 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 215325468 is about 14673.9724682855. The cubic root of 215325468 is about 599.3747820638.

It can be divided in two parts, 21532 and 5468, that added together give a cube (27000 = 303).

The spelling of 215325468 in words is "two hundred fifteen million, three hundred twenty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 772 1158 1737 1823 2316 3281 3474 3646 5469 6562 6948 7292 9843 10938 13124 16407 19686 21876 29529 30991 32814 39372 59058 61982 65628 92973 118116 123964 185946 278919 351839 371892 557838 703678 1055517 1115676 1407356 2111034 3166551 4222068 5981263 6333102 11962526 12666204 17943789 23925052 35887578 53831367 71775156 107662734 215325468