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22424412010 = 25711132240201
BaseRepresentation
bin10100111000100110…
…010101111101101010
32010212210111011022011
4110320212111331222
5331411122141020
614145052550134
71422461233330
oct247046257552
963783434264
1022424412010
119567aa5710
124419a8234a
132164a5cc60
14112a29bb50
158b3a1535a
hex538995f6a

22424412010 has 64 divisors (see below), whose sum is σ = 54194966784. Its totient is φ = 6451776000.

The previous prime is 22424411963. The next prime is 22424412029. The reversal of 22424412010 is 1021442422.

22424412010 = T26235 + T26236 + ... + T26299.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110091 + ... + 1130110.

It is an arithmetic number, because the mean of its divisors is an integer number (846796356).

Almost surely, 222424412010 is an apocalyptic number.

22424412010 is an abundant number, since it is smaller than the sum of its proper divisors (31770554774).

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

22424412010 is a wasteful number, since it uses less digits than its factorization.

22424412010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240239.

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22424412010 its reverse (1021442422), we get a palindrome (23445854432).

It can be divided in two parts, 22424 and 412010, that added together give a palindrome (434434).

The spelling of 22424412010 in words is "twenty-two billion, four hundred twenty-four million, four hundred twelve thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 2240201 4480402 11201005 15681407 22402010 24642211 29122613 31362814 49284422 58245226 78407035 123211055 145613065 156814070 172495477 203858291 246422110 291226130 320348743 344990954 407716582 640697486 862477385 1019291455 1601743715 1724954770 2038582910 2242441201 3203487430 4484882402 11212206005 22424412010