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224240440416 = 25319911737879
BaseRepresentation
bin1101000011010111000…
…1011001010001100000
3210102210200221122102220
43100311301121101200
512133221023043131
6251003054511040
722125613202646
oct3206561312140
9712720848386
10224240440416
1187110978933
1237561805480
13181b8391945
14abd3629196
155c7660be96
hex3435c59460

224240440416 has 48 divisors (see below), whose sum is σ = 591589152000. Its totient is φ = 74371195008.

The previous prime is 224240440313. The next prime is 224240440421. The reversal of 224240440416 is 614044042422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5849836 + ... + 5888043.

It is an arithmetic number, because the mean of its divisors is an integer number (12324774000).

Almost surely, 2224240440416 is an apocalyptic number.

It is an amenable number.

224240440416 is an abundant number, since it is smaller than the sum of its proper divisors (367348711584).

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

224240440416 is a wasteful number, since it uses less digits than its factorization.

224240440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11738091 (or 11738083 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 224240440416 its reverse (614044042422), we get a palindrome (838284482838).

The spelling of 224240440416 in words is "two hundred twenty-four billion, two hundred forty million, four hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 19104 11737879 23475758 35213637 46951516 70427274 93903032 140854548 187806064 281709096 375612128 563418192 1126836384 2335837921 4671675842 7007513763 9343351684 14015027526 18686703368 28030055052 37373406736 56060110104 74746813472 112120220208 224240440416