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5022052224 = 273715112373
BaseRepresentation
bin1001010110101011…
…00110111110000000
3110221222212200112020
410223111212332000
540241121132344
62150200001440
7235310511450
oct45325467600
913858780466
105022052224
1121478aa192
12b81a60280
136205b0147
14358da1d60
151e5d60719
hex12b566f80

5022052224 has 128 divisors (see below), whose sum is σ = 15347719680. Its totient is φ = 1425254400.

The previous prime is 5022052219. The next prime is 5022052237. The reversal of 5022052224 is 4222502205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5022052194 and 5022052203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399702 + ... + 412074.

It is an arithmetic number, because the mean of its divisors is an integer number (119904060).

Almost surely, 25022052224 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 5022052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673859840).

5022052224 is an abundant number, since it is smaller than the sum of its proper divisors (10325667456).

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

5022052224 is a wasteful number, since it uses less digits than its factorization.

5022052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12536 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 5022052224 is about 70866.4393348502. The cubic root of 5022052224 is about 1712.4861780475.

Adding to 5022052224 its reverse (4222502205), we get a palindrome (9244554429).

The spelling of 5022052224 in words is "five billion, twenty-two million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 302 336 384 448 453 604 672 896 906 1057 1208 1344 1812 2114 2416 2688 3171 3624 4228 4832 6342 7248 8456 9664 12373 12684 14496 16912 19328 24746 25368 28992 33824 37119 49492 50736 57984 67648 74238 86611 98984 101472 135296 148476 173222 197968 202944 259833 296952 346444 395936 405888 519666 593904 692888 791872 1039332 1187808 1385776 1583744 1868323 2078664 2375616 2771552 3736646 4157328 4751232 5543104 5604969 7473292 8314656 11086208 11209938 13078261 14946584 16629312 22419876 26156522 29893168 33258624 39234783 44839752 52313044 59786336 78469566 89679504 104626088 119572672 156939132 179359008 209252176 239145344 313878264 358718016 418504352 627756528 717436032 837008704 1255513056 1674017408 2511026112 5022052224