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441221430 = 235134724071
BaseRepresentation
bin11010010011001…
…000000100110110
31010202020101000110
4122103020010312
51400423041210
6111440523450
713635214566
oct3223100466
91122211013
10441221430
11207070211
12103920586
1370545090
1442854da6
1528b07420
hex1a4c8136

441221430 has 64 divisors (see below), whose sum is σ = 1164699648. Its totient is φ = 106293120.

The previous prime is 441221413. The next prime is 441221441. The reversal of 441221430 is 34122144.

It is a junction number, because it is equal to n+sod(n) for n = 441221397 and 441221406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6295 + ... + 30365.

It is an arithmetic number, because the mean of its divisors is an integer number (18198432).

Almost surely, 2441221430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441221430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582349824).

441221430 is an abundant number, since it is smaller than the sum of its proper divisors (723478218).

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

441221430 is a wasteful number, since it uses less digits than its factorization.

441221430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24141.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441221430 is about 21005.2714812258. The cubic root of 441221430 is about 761.2936358894.

Adding to 441221430 its reverse (34122144), we get a palindrome (475343574).

The spelling of 441221430 in words is "four hundred forty-one million, two hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1222 1410 1833 3055 3666 6110 9165 18330 24071 48142 72213 120355 144426 240710 312923 361065 625846 722130 938769 1131337 1564615 1877538 2262674 3129230 3394011 4693845 5656685 6788022 9387690 11313370 14707381 16970055 29414762 33940110 44122143 73536905 88244286 147073810 220610715 441221430