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152222520 = 23357317377
BaseRepresentation
bin10010001001010…
…11101100111000
3101121102201001010
421010223230320
5302432110040
623034353520
73525604302
oct1104535470
9347381033
10152222520
1178a2003a
1242b8b8a0
13256c96c8
1416306972
15d56ce80
hex912bb38

152222520 has 64 divisors (see below), whose sum is σ = 462949920. Its totient is φ = 40034304.

The previous prime is 152222513. The next prime is 152222557. The reversal of 152222520 is 25222251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 17448.

Almost surely, 2152222520 is an apocalyptic number.

152222520 is a gapful number since it is divisible by the number (10) 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 152222520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231474960).

152222520 is an abundant number, since it is smaller than the sum of its proper divisors (310727400).

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

152222520 is a wasteful number, since it uses less digits than its factorization.

152222520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17464 (or 17460 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 152222520 is about 12337.8490832073. The cubic root of 152222520 is about 533.9406294021.

Adding to 152222520 its reverse (25222251), we get a palindrome (177444771).

It can be divided in two parts, 1522 and 22520, that added together give a palindrome (24042).

The spelling of 152222520 in words is "one hundred fifty-two million, two hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 17377 34754 52131 69508 86885 104262 139016 173770 208524 260655 347540 417048 521310 695080 1042620 1268521 2085240 2537042 3805563 5074084 6342605 7611126 10148168 12685210 15222252 19027815 25370420 30444504 38055630 50740840 76111260 152222520