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215125152 = 253111012017
BaseRepresentation
bin11001101001010…
…00110010100000
3112222210111020020
430310220302200
5420033001102
633202513440
75221351014
oct1464506240
9488714206
10215125152
11100483790
1260065880
13357518b8
14207dc544
1513d45bbc
hexcd28ca0

215125152 has 96 divisors (see below), whose sum is σ = 622448064. Its totient is φ = 64512000.

The previous prime is 215125147. The next prime is 215125159. The reversal of 215125152 is 251521512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (215125159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105648 + ... + 107664.

It is an arithmetic number, because the mean of its divisors is an integer number (6483834).

Almost surely, 2215125152 is an apocalyptic number.

215125152 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 215125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311224032).

215125152 is an abundant number, since it is smaller than the sum of its proper divisors (407322912).

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

215125152 is a wasteful number, since it uses less digits than its factorization.

215125152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its digits is 1000, while the sum is 24.

The square root of 215125152 is about 14667.1453255226. The cubic root of 215125152 is about 599.1888594681.

Adding to 215125152 its reverse (251521512), we get a palindrome (466646664).

The spelling of 215125152 in words is "two hundred fifteen million, one hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2017 2222 2424 3232 3333 4034 4444 4848 6051 6666 8068 8888 9696 12102 13332 16136 17776 22187 24204 26664 32272 35552 44374 48408 53328 64544 66561 88748 96816 106656 133122 177496 193632 203717 266244 354992 407434 532488 611151 709984 814868 1064976 1222302 1629736 2129952 2240887 2444604 3259472 4481774 4889208 6518944 6722661 8963548 9778416 13445322 17927096 19556832 26890644 35854192 53781288 71708384 107562576 215125152