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22000440224 = 257219970507
BaseRepresentation
bin10100011111010101…
…000001001110100000
32002210020201011100102
4110133111001032200
5330024103041344
614035025441532
71406122441100
oct243725011640
962706634312
1022000440224
11936a747404
12431baa02a8
1320c7c77489
1410c9c57200
1588b6b8e4e
hex51f5413a0

22000440224 has 72 divisors (see below), whose sum is σ = 50638845600. Its totient is φ = 9381246336.

The previous prime is 22000440211. The next prime is 22000440239. The reversal of 22000440224 is 42204400022.

It is a junction number, because it is equal to n+sod(n) for n = 22000440196 and 22000440205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276779 + ... + 347285.

It is an arithmetic number, because the mean of its divisors is an integer number (703317300).

Almost surely, 222000440224 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 22000440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25319422800).

22000440224 is an abundant number, since it is smaller than the sum of its proper divisors (28638405376).

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

22000440224 is a wasteful number, since it uses less digits than its factorization.

22000440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70730 (or 70715 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22000440224 its reverse (42204400022), we get a palindrome (64204840246).

The spelling of 22000440224 in words is "twenty-two billion, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 199 224 392 398 784 796 1393 1568 1592 2786 3184 5572 6368 9751 11144 19502 22288 39004 44576 70507 78008 141014 156016 282028 312032 493549 564056 987098 1128112 1974196 2256224 3454843 3948392 6909686 7896784 13819372 14030893 15793568 27638744 28061786 55277488 56123572 98216251 110554976 112247144 196432502 224494288 392865004 448988576 687513757 785730008 1375027514 1571460016 2750055028 3142920032 5500110056 11000220112 22000440224