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22025000000 = 2658881
BaseRepresentation
bin10100100000110010…
…101101010001000000
32002211221220221000202
4110200302231101000
5330101400000000
614041304104332
71406541260663
oct244062552100
962757827022
1022025000000
1193825a1543
1243281650a8
1321000961a3
1410cd20b6da
1588d91add5
hex520cad440

22025000000 has 126 divisors (see below), whose sum is σ = 54694307934. Its totient is φ = 8800000000.

The previous prime is 22024999999. The next prime is 22025000009. The reversal of 22025000000 is 52022.

It can be written as a sum of positive squares in 9 ways, for example, as 3892761664 + 18132238336 = 62392^2 + 134656^2 .

It is a sliding number, since 22025000000 = 6400000000 + 15625000000 and 1/6400000000 + 1/15625000000 = 0.00000000022025000000.

It is not an unprimeable number, because it can be changed into a prime (22025000009) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24999560 + ... + 25000440.

It is an arithmetic number, because the mean of its divisors is an integer number (434081809).

Almost surely, 222025000000 is an apocalyptic number.

22025000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22025000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27347153967).

22025000000 is an abundant number, since it is smaller than the sum of its proper divisors (32669307934).

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

22025000000 is an frugal number, since it uses more digits than its factorization.

22025000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

Adding to 22025000000 its reverse (52022), we get a palindrome (22025052022).

The spelling of 22025000000 in words is "twenty-two billion, twenty-five million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 881 1000 1250 1600 1762 2000 2500 3125 3524 4000 4405 5000 6250 7048 8000 8810 10000 12500 14096 15625 17620 20000 22025 25000 28192 31250 35240 40000 44050 50000 56384 62500 70480 78125 88100 100000 110125 125000 140960 156250 176200 200000 220250 250000 281920 312500 352400 390625 440500 500000 550625 625000 704800 781250 881000 1000000 1101250 1250000 1409600 1562500 1762000 2202500 2500000 2753125 3125000 3524000 4405000 5000000 5506250 6250000 7048000 8810000 11012500 12500000 13765625 17620000 22025000 25000000 27531250 35240000 44050000 55062500 68828125 88100000 110125000 137656250 176200000 220250000 275312500 344140625 440500000 550625000 688281250 881000000 1101250000 1376562500 2202500000 2753125000 4405000000 5506250000 11012500000 22025000000