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22373578084 = 221121325232
BaseRepresentation
bin10100110101100100…
…011011010101100100
32010202020211112021011
4110311210123111210
5331310113444314
614140035232004
71421303163424
oct246544332544
963666745234
1022373578084
119541335400
124404a48604
132157372100
141123628484
158ae3234c4
hex53591b564

22373578084 has 81 divisors (see below), whose sum is σ = 46691231769. Its totient is φ = 9369565920.

The previous prime is 22373578081. The next prime is 22373578133. The reversal of 22373578084 is 48087537322.

It is a happy number.

The square root of 22373578084 is 149578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3309700900 + 19063877184 = 57530^2 + 138072^2 .

It is a super-2 number, since 2×223735780842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22373578081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42779047 + ... + 42779569.

Almost surely, 222373578084 is an apocalyptic number.

22373578084 is the 149578-th square number.

It is an amenable number.

22373578084 is an abundant number, since it is smaller than the sum of its proper divisors (24317653685).

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

22373578084 is a wasteful number, since it uses less digits than its factorization.

22373578084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

Multiplying 22373578084 by its sum of digits (49), we get a square (1096305326116 = 10470462).

The spelling of 22373578084 in words is "twenty-two billion, three hundred seventy-three million, five hundred seventy-eight thousand, eighty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 523 572 676 1046 1573 1859 2092 3146 3718 5753 6292 6799 7436 11506 13598 20449 23012 27196 40898 63283 74789 81796 88387 126566 149578 176774 253132 273529 299156 353548 547058 822679 972257 1094116 1645358 1944514 3008819 3290716 3555877 3889028 6017638 7111754 10694827 12035276 14223508 21389654 33097009 39114647 42779308 46226401 66194018 78229294 92452802 132388036 156458588 184905604 430261117 508490411 860522234 1016980822 1721044468 2033961644 5593394521 11186789042 22373578084