Search a number
-
+
224402420004 = 22376074401083
BaseRepresentation
bin1101000011111101101…
…1010011000100100100
3210110012222202001122220
43100333123103010210
512134034004420004
6251031122352340
722132621045440
oct3207733230444
9713188661586
10224402420004
1187194352564
12375a7abb6b0
1318212ac6459
14ac0ad51820
155c85955dd9
hex343f6d3124

224402420004 has 48 divisors (see below), whose sum is σ = 599392432128. Its totient is φ = 64009336608.

The previous prime is 224402419999. The next prime is 224402420051. The reversal of 224402420004 is 400024204422.

224402420004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2244024200042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149554 + ... + 2251529.

It is an arithmetic number, because the mean of its divisors is an integer number (12487342336).

Almost surely, 2224402420004 is an apocalyptic number.

It is an amenable number.

224402420004 is an abundant number, since it is smaller than the sum of its proper divisors (374990012124).

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

224402420004 is a wasteful number, since it uses less digits than its factorization.

224402420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401704 (or 4401702 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 224402420004 its reverse (400024204422), we get a palindrome (624426624426).

The spelling of 224402420004 in words is "two hundred twenty-four billion, four hundred two million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 607 1214 1821 2428 3642 4249 7284 8498 12747 16996 25494 50988 4401083 8802166 13203249 17604332 26406498 30807581 52812996 61615162 92422743 123230324 184845486 369690972 2671457381 5342914762 8014372143 10685829524 16028744286 18700201667 32057488572 37400403334 56100605001 74800806668 112201210002 224402420004