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224454420 = 223251398971
BaseRepresentation
bin11010110000011…
…10011100010100
3120122100110120200
431120032130110
5424430020140
634134500500
75363555031
oct1530163424
9518313520
10224454420
11105775a23
1263204730
133766a088
1421b4a388
1514a8a030
hexd60e714

224454420 has 72 divisors (see below), whose sum is σ = 685819680. Its totient is φ = 59417280.

The previous prime is 224454413. The next prime is 224454427. The reversal of 224454420 is 24454422.

It is an interprime number because it is at equal distance from previous prime (224454413) and next prime (224454427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224454427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20535 + ... + 29505.

Almost surely, 2224454420 is an apocalyptic number.

224454420 is a gapful number since it is divisible by the number (20) 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 224454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342909840).

224454420 is an abundant number, since it is smaller than the sum of its proper divisors (461365260).

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

224454420 is a wasteful number, since it uses less digits than its factorization.

224454420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 224454420 is about 14981.8029622606. The cubic root of 224454420 is about 607.7281975607.

The spelling of 224454420 in words is "two hundred twenty-four million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 8971 12510 17942 25020 26913 35884 44855 53826 80739 89710 107652 134565 161478 179420 269130 322956 403695 538260 807390 1246969 1614780 2493938 3740907 4987876 6234845 7481814 11222721 12469690 14963628 18704535 22445442 24939380 37409070 44890884 56113605 74818140 112227210 224454420