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224324114432 = 211119957569
BaseRepresentation
bin1101000011101011000…
…0100101100000000000
3210110000112101201121112
43100322300211200000
512133403433130212
6251015244142452
722130650340345
oct3207260454000
9713015351545
10224324114432
1187154129410
1237585837a28
13181cc80a3b2
14ac007aa7cc
155c7db39422
hex343ac25800

224324114432 has 48 divisors (see below), whose sum is σ = 489314989800. Its totient is φ = 101965496320.

The previous prime is 224324114407. The next prime is 224324114461. The reversal of 224324114432 is 234411423422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4956257 + ... + 5001312.

Almost surely, 2224324114432 is an apocalyptic number.

224324114432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224324114432 is an abundant number, since it is smaller than the sum of its proper divisors (264990875368).

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

224324114432 is an equidigital number, since it uses as much as digits as its factorization.

224324114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957602 (or 9957582 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 224324114432 its reverse (234411423422), we get a palindrome (458735537854).

The spelling of 224324114432 in words is "two hundred twenty-four billion, three hundred twenty-four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 11264 22528 9957569 19915138 39830276 79660552 109533259 159321104 219066518 318642208 438133036 637284416 876266072 1274568832 1752532144 2549137664 3505064288 5098275328 7010128576 10196550656 14020257152 20393101312 28040514304 56081028608 112162057216 224324114432