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224053574448 = 243111941836563
BaseRepresentation
bin1101000010101010100…
…0100011101100110000
3210102022200022212112010
43100222220203230300
512132330203340243
6250532341402520
722121153650134
oct3205250435460
9712280285463
10224053574448
1187025446750
123750b109440
1318188755872
14abb68a53c4
155c64ee9433
hex342aa23b30

224053574448 has 320 divisors, whose sum is σ = 689175889920. Its totient is φ = 61987276800.

The previous prime is 224053574447. The next prime is 224053574453. The reversal of 224053574448 is 844475350422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 224053574397 and 224053574406.

It is not an unprimeable number, because it can be changed into a prime (224053574447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34135615 + ... + 34142177.

It is an arithmetic number, because the mean of its divisors is an integer number (2153674656).

Almost surely, 2224053574448 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 224053574448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344587944960).

224053574448 is an abundant number, since it is smaller than the sum of its proper divisors (465122315472).

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

224053574448 is a wasteful number, since it uses less digits than its factorization.

224053574448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 48.

The spelling of 224053574448 in words is "two hundred twenty-four billion, fifty-three million, five hundred seventy-four thousand, four hundred forty-eight".