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215325132 = 2231131101521
BaseRepresentation
bin11001101010110…
…01100111001100
3120000011122112220
430311121213030
5420110401012
633211055340
75223143031
oct1465314714
9500148486
10215325132
111005aaa60
1260141550
13357c1929
1420851388
1513d8508c
hexcd599cc

215325132 has 96 divisors (see below), whose sum is σ = 572479488. Its totient is φ = 62400000.

The previous prime is 215325113. The next prime is 215325133. The reversal of 215325132 is 231523512.

It is a happy number.

215325132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (215325133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413032 + ... + 413552.

It is an arithmetic number, because the mean of its divisors is an integer number (5963328).

Almost surely, 2215325132 is an apocalyptic number.

215325132 is a gapful number since it is divisible by the number (22) 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 215325132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286239744).

215325132 is an abundant number, since it is smaller than the sum of its proper divisors (357154356).

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

215325132 is a wasteful number, since it uses less digits than its factorization.

215325132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 215325132 is about 14673.9610194385. The cubic root of 215325132 is about 599.3744703032.

Adding to 215325132 its reverse (231523512), we get a palindrome (446848644).

The spelling of 215325132 in words is "two hundred fifteen million, three hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 101 124 132 186 202 303 341 372 404 521 606 682 1023 1042 1111 1212 1364 1563 2046 2084 2222 3126 3131 3333 4092 4444 5731 6252 6262 6666 9393 11462 12524 13332 16151 17193 18786 22924 32302 34386 34441 37572 48453 52621 64604 68772 68882 96906 103323 105242 137764 157863 177661 193812 206646 210484 315726 355322 413292 532983 578831 631452 710644 1065966 1157662 1631251 1736493 2131932 2315324 3262502 3472986 4893753 6525004 6945972 9787506 17943761 19575012 35887522 53831283 71775044 107662566 215325132