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152346220 = 225132112777
BaseRepresentation
bin10010001010010…
…01111001101100
3101121122222201121
421011021321230
5303000034340
623041150324
73526631035
oct1105117154
9347588647
10152346220
1178aa4a74
124302b3a4
1325740ac0
1416339a8c
15d59494a
hex9149e6c

152346220 has 48 divisors (see below), whose sum is σ = 346294368. Its totient is φ = 55964160.

The previous prime is 152346217. The next prime is 152346247. The reversal of 152346220 is 22643251.

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, 53472 + ... + 56248.

It is an arithmetic number, because the mean of its divisors is an integer number (7214466).

Almost surely, 2152346220 is an apocalyptic number.

152346220 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 152346220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173147184).

152346220 is an abundant number, since it is smaller than the sum of its proper divisors (193948148).

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

152346220 is a wasteful number, since it uses less digits than its factorization.

152346220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 152346220 is about 12342.8610945761. The cubic root of 152346220 is about 534.0852216149.

Adding to 152346220 its reverse (22643251), we get a palindrome (174989471).

The spelling of 152346220 in words is "one hundred fifty-two million, three hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 211 260 422 844 1055 2110 2743 2777 4220 5486 5554 10972 11108 13715 13885 27430 27770 36101 54860 55540 72202 144404 180505 361010 585947 722020 1171894 2343788 2929735 5859470 7617311 11718940 15234622 30469244 38086555 76173110 152346220