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152216320 = 2851091091
BaseRepresentation
bin10010001001010…
…10001100000000
3101121102101112111
421010222030000
5302431410240
623034305104
73525550234
oct1104521400
9347371474
10152216320
1178a16413
1242b88194
13256c6939
14163045c4
15d56b1ea
hex912a300

152216320 has 72 divisors (see below), whose sum is σ = 368287920. Its totient is φ = 60272640.

The previous prime is 152216291. The next prime is 152216321. The reversal of 152216320 is 23612251.

It is a junction number, because it is equal to n+sod(n) for n = 152216291 and 152216300.

It is not an unprimeable number, because it can be changed into a prime (152216321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138975 + ... + 140065.

It is an arithmetic number, because the mean of its divisors is an integer number (5115110).

Almost surely, 2152216320 is an apocalyptic number.

152216320 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 152216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184143960).

152216320 is an abundant number, since it is smaller than the sum of its proper divisors (216071600).

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

152216320 is a wasteful number, since it uses less digits than its factorization.

152216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 152216320 is about 12337.5978212941. The cubic root of 152216320 is about 533.9333801969.

Adding to 152216320 its reverse (23612251), we get a palindrome (175828571).

The spelling of 152216320 in words is "one hundred fifty-two million, two hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 545 640 872 1090 1091 1280 1744 2180 2182 3488 4360 4364 5455 6976 8720 8728 10910 13952 17440 17456 21820 27904 34880 34912 43640 69760 69824 87280 118919 139520 139648 174560 237838 279296 349120 475676 594595 698240 951352 1189190 1396480 1902704 2378380 3805408 4756760 7610816 9513520 15221632 19027040 30443264 38054080 76108160 152216320