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52022214024 = 233115314924953
BaseRepresentation
bin110000011100110000…
…111111110110001000
311222021111222021202120
4300130300333312020
51323020141322044
635522040331240
73521105344314
oct603460776610
9158244867676
1052022214024
1120076202410
12a0ba173b20
134ba09c4181
14273712cb44
151547194519
hexc1cc3fd88

52022214024 has 128 divisors (see below), whose sum is σ = 145531728000. Its totient is φ = 15362447360.

The previous prime is 52022214001. The next prime is 52022214043. The reversal of 52022214024 is 42041222025.

52022214024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 52022213985 and 52022214003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2072332 + ... + 2097284.

It is an arithmetic number, because the mean of its divisors is an integer number (1136966625).

Almost surely, 252022214024 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 52022214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72765864000).

52022214024 is an abundant number, since it is smaller than the sum of its proper divisors (93509513976).

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

52022214024 is a wasteful number, since it uses less digits than its factorization.

52022214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25175 (or 25171 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 52022214024 its reverse (42041222025), we get a palindrome (94063436049).

The spelling of 52022214024 in words is "fifty-two billion, twenty-two million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 149 159 212 264 298 318 424 447 583 596 636 894 1166 1192 1272 1639 1749 1788 2332 3278 3498 3576 4664 4917 6556 6996 7897 9834 13112 13992 15794 19668 23691 24953 31588 39336 47382 49906 63176 74859 86867 94764 99812 149718 173734 189528 199624 260601 274483 299436 347468 521202 548966 598872 694936 823449 1042404 1097932 1322509 1646898 2084808 2195864 2645018 3293796 3717997 3967527 5290036 6587592 7435994 7935054 10580072 11153991 14547599 14871988 15870108 22307982 29095198 29743976 31740216 40897967 43642797 44615964 58190396 81795934 87285594 89231928 116380792 122693901 163591868 174571188 197053841 245387802 327183736 349142376 394107682 490775604 591161523 788215364 981551208 1182323046 1576430728 2167592251 2364646092 4335184502 4729292184 6502776753 8670369004 13005553506 17340738008 26011107012 52022214024