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224421410004 = 2231117757132113
BaseRepresentation
bin1101000100000010001…
…1101111010011010100
3210110021022110212001020
43101000203233103110
512134103340110004
6251033041401140
722133241340041
oct3210043572324
9713238425036
10224421410004
11871a4042a80
12375b23391b0
1318216a14c3c
14ac0d6961c8
155c874578d9
hex34408ef4d4

224421410004 has 96 divisors (see below), whose sum is σ = 605661307776. Its totient is φ = 63921070080.

The previous prime is 224421409991. The next prime is 224421410009. The reversal of 224421410004 is 400014124422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224421410009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632652 + ... + 1764764.

It is an arithmetic number, because the mean of its divisors is an integer number (6308971956).

Almost surely, 2224421410004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224421410004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302830653888).

224421410004 is an abundant number, since it is smaller than the sum of its proper divisors (381239897772).

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

224421410004 is a wasteful number, since it uses less digits than its factorization.

224421410004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132905 (or 132903 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 224421410004 its reverse (400014124422), we get a palindrome (624435534426).

The spelling of 224421410004 in words is "two hundred twenty-four billion, four hundred twenty-one million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 757 1122 1514 2244 2271 3028 4542 8327 9084 12869 16654 24981 25738 33308 38607 49962 51476 77214 99924 132113 141559 154428 264226 283118 396339 424677 528452 566236 792678 849354 1453243 1585356 1698708 2245921 2906486 4359729 4491842 5812972 6737763 8719458 8983684 13475526 17438916 24705131 26951052 49410262 74115393 98820524 100009541 148230786 200019082 296461572 300028623 400038164 600057246 1100104951 1200114492 1700162197 2200209902 3300314853 3400324394 4400419804 5100486591 6600629706 6800648788 10200973182 13201259412 18701784167 20401946364 37403568334 56105352501 74807136668 112210705002 224421410004