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350225520 = 24351937561
BaseRepresentation
bin10100111000000…
…000010001110000
3220102000022002120
4110320000101300
51204124204040
654430314240
711451603441
oct2470002160
9812008076
10350225520
1116a769687
1299358980
1357734a48
14347292c8
1520b307d0
hex14e00470

350225520 has 80 divisors (see below), whose sum is σ = 1091468832. Its totient is φ = 92897280.

The previous prime is 350225509. The next prime is 350225521. The reversal of 350225520 is 25522053.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350225521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42540 + ... + 50100.

Almost surely, 2350225520 is an apocalyptic number.

350225520 is a gapful number since it is divisible by the number (30) 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 350225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545734416).

350225520 is an abundant number, since it is smaller than the sum of its proper divisors (741243312).

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

350225520 is a wasteful number, since it uses less digits than its factorization.

350225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 350225520 is about 18714.3132388020. The cubic root of 350225520 is about 704.8812032617.

Adding to 350225520 its reverse (25522053), we get a palindrome (375747573).

The spelling of 350225520 in words is "three hundred fifty million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 7561 7720 9264 11580 15122 15440 22683 23160 30244 37805 45366 46320 60488 75610 90732 113415 120976 151220 181464 226830 302440 362928 453660 604880 907320 1459273 1814640 2918546 4377819 5837092 7296365 8755638 11674184 14592730 17511276 21889095 23348368 29185460 35022552 43778190 58370920 70045104 87556380 116741840 175112760 350225520