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224535195328 = 2612733781973
BaseRepresentation
bin1101000100011101010…
…1110010111011000000
3210110120020120202011111
43101013111302323000
512134322002222303
6251052224253104
722136122445503
oct3210725627300
9713506522144
10224535195328
118725229a634
1237624471194
1318234474232
14ac2083513a
155c92431b6d
hex3447572ec0

224535195328 has 56 divisors (see below), whose sum is σ = 450408438272. Its totient is φ = 111051730944.

The previous prime is 224535195319. The next prime is 224535195329. The reversal of 224535195328 is 823591535422.

It is a super-2 number, since 2×2245351953282 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224535195329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2698150 + ... + 2780122.

Almost surely, 2224535195328 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 224535195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225204219136).

224535195328 is an abundant number, since it is smaller than the sum of its proper divisors (225873242944).

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

224535195328 is a wasteful number, since it uses less digits than its factorization.

224535195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82449 (or 82439 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 49.

The spelling of 224535195328 in words is "two hundred twenty-four billion, five hundred thirty-five million, one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 127 254 337 508 674 1016 1348 2032 2696 4064 5392 8128 10784 21568 42799 81973 85598 163946 171196 327892 342392 655784 684784 1311568 1369568 2623136 2739136 5246272 10410571 20821142 27624901 41642284 55249802 83284568 110499604 166569136 220999208 333138272 441998416 666276544 883996832 1767993664 3508362427 7016724854 14033449708 28066899416 56133798832 112267597664 224535195328