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10223324222144 = 261142973379513
BaseRepresentation
bin1001010011000100110110…
…0110111101001011000000
31100012100012001011012002012
42110301031212331023000
52314444332000102034
633424310314112052
72103416335043045
oct224611546751300
940170161135065
1010223324222144
113291762002570
12119142271b628
13592094765777
14274b50bb91cc
1512adeadbccce
hex94c4d9bd2c0

10223324222144 has 56 divisors (see below), whose sum is σ = 22136330386128. Its totient is φ = 4645882736640.

The previous prime is 10223324222143. The next prime is 10223324222179. The reversal of 10223324222144 is 44122242332201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10223324222144.

It is not an unprimeable number, because it can be changed into a prime (10223324222141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335332 + ... + 4714844.

It is an arithmetic number, because the mean of its divisors is an integer number (395291614038).

Almost surely, 210223324222144 is an apocalyptic number.

It is an amenable number.

10223324222144 is an abundant number, since it is smaller than the sum of its proper divisors (11913006163984).

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

10223324222144 is a wasteful number, since it uses less digits than its factorization.

10223324222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383833 (or 3383823 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10223324222144 its reverse (44122242332201), we get a palindrome (54345566554345).

The spelling of 10223324222144 in words is "ten trillion, two hundred twenty-three billion, three hundred twenty-four million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 4297 8594 17188 34376 47267 68752 94534 137504 189068 275008 378136 756272 1512544 3025088 3379513 6759026 13518052 27036104 37174643 54072208 74349286 108144416 148698572 216288832 297397144 594794288 1189588576 2379177152 14521767361 29043534722 58087069444 116174138888 159739440971 232348277776 319478881942 464696555552 638957763884 929393111104 1277915527768 2555831055536 5111662111072 10223324222144