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22223379488 = 25194732
BaseRepresentation
bin10100101100100111…
…011101110000100000
32010100210012122112012
4110230213131300200
5331003141120423
614113112052052
71414500415562
oct245447356040
963323178465
1022223379488
119474577a32
124382694028
1321322039bb
14110b6cb332
158a1055078
hex52c9ddc20

22223379488 has 90 divisors (see below), whose sum is σ = 46824251229. Its totient is φ = 10382660352.

The previous prime is 22223379487. The next prime is 22223379533. The reversal of 22223379488 is 88497332222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22121207824 + 102171664 = 148732^2 + 10108^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105412.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22223379487) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 304429820 + ... + 304429892.

Almost surely, 222223379488 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 22223379488

22223379488 is an abundant number, since it is smaller than the sum of its proper divisors (24600871741).

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

22223379488 is an frugal number, since it uses more digits than its factorization.

22223379488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 94 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

Multiplying 22223379488 by its sum of digits (50), we get a square (1111168974400 = 10541202).

The spelling of 22223379488 in words is "twenty-two billion, two hundred twenty-three million, three hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 292 304 361 584 608 722 1168 1387 1444 2336 2774 2888 5329 5548 5776 6859 10658 11096 11552 13718 21316 22192 26353 27436 42632 44384 52706 54872 85264 101251 105412 109744 130321 170528 202502 210824 219488 260642 405004 421648 500707 521284 810008 843296 1001414 1042568 1620016 1923769 2002828 2085136 3240032 3847538 4005656 4170272 7695076 8011312 9513433 15390152 16022624 19026866 30780304 36551611 38053732 61560608 73103222 76107464 146206444 152214928 292412888 304429856 584825776 694480609 1169651552 1388961218 2777922436 5555844872 11111689744 22223379488