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350225880 = 233513122279
BaseRepresentation
bin10100111000000…
…000010111011000
3220102000022120220
4110320000113120
51204124212010
654430320040
711451604464
oct2470002730
9812008526
10350225880
1116a769984
1299359020
1357734c64
14347294a4
1520b30970
hex14e005d8

350225880 has 64 divisors (see below), whose sum is σ = 1058745600. Its totient is φ = 92676480.

The previous prime is 350225839. The next prime is 350225893. The reversal of 350225880 is 88522053.

It is a congruent number.

It is an unprimeable number.

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, 4581 + ... + 26859.

It is an arithmetic number, because the mean of its divisors is an integer number (16542900).

Almost surely, 2350225880 is an apocalyptic number.

350225880 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 350225880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529372800).

350225880 is an abundant number, since it is smaller than the sum of its proper divisors (708519720).

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

350225880 is a wasteful number, since it uses less digits than its factorization.

350225880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22424 (or 22420 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 350225880 is about 18714.3228571060. The cubic root of 350225880 is about 704.8814447795.

The spelling of 350225880 in words is "three hundred fifty million, two hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 22279 44558 66837 89116 111395 133674 178232 222790 267348 334185 445580 534696 668370 891160 1336740 2673480 2918549 5837098 8755647 11674196 14592745 17511294 23348392 29185490 35022588 43778235 58370980 70045176 87556470 116741960 175112940 350225880