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22350125500 = 2253617110321
BaseRepresentation
bin10100110100001010…
…111101100110111100
32010200121201000100221
4110310022331212330
5331233113004000
614133440431124
71420566634513
oct246412754674
963617630327
1022350125500
11952a0770aa
1243b90184a4
132152550341
14112048167a
158ac23e61a
hex5342bd9bc

22350125500 has 96 divisors (see below), whose sum is σ = 50316529536. Its totient is φ = 8668800000.

The previous prime is 22350125489. The next prime is 22350125509. The reversal of 22350125500 is 552105322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22350125509) by changing a digit.

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, 2160340 + ... + 2170660.

It is an arithmetic number, because the mean of its divisors is an integer number (524130516).

Almost surely, 222350125500 is an apocalyptic number.

22350125500 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 22350125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25158264768).

22350125500 is an abundant number, since it is smaller than the sum of its proper divisors (27966404036).

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

22350125500 is a wasteful number, since it uses less digits than its factorization.

22350125500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

It can be divided in two parts, 223501 and 25500, that added together give a square (249001 = 4992).

The spelling of 22350125500 in words is "twenty-two billion, three hundred fifty million, one hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 71 100 122 125 142 244 250 284 305 355 500 610 710 1220 1420 1525 1775 3050 3550 4331 6100 7100 7625 8662 8875 10321 15250 17324 17750 20642 21655 30500 35500 41284 43310 51605 86620 103210 108275 206420 216550 258025 433100 516050 541375 629581 732791 1032100 1082750 1259162 1290125 1465582 2165500 2518324 2580250 2931164 3147905 3663955 5160500 6295810 7327910 12591620 14655820 15739525 18319775 31479050 36639550 44700251 62958100 73279100 78697625 89400502 91598875 157395250 178801004 183197750 223501255 314790500 366395500 447002510 894005020 1117506275 2235012550 4470025100 5587531375 11175062750 22350125500