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22201153400 = 23521721013803
BaseRepresentation
bin10100101011010010…
…101011011101111000
32010022020101110001202
4110223102223131320
5330431443402100
614110555433332
71414110455516
oct245322533570
963266343052
1022201153400
119462a77168
124377155848
13212a72127a
1411087834b6
1589e1147d5
hex52b4ab778

22201153400 has 144 divisors (see below), whose sum is σ = 55390082040. Its totient is φ = 8273152000.

The previous prime is 22201153393. The next prime is 22201153423. The reversal of 22201153400 is 435110222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5835899 + ... + 5839701.

Almost surely, 222201153400 is an apocalyptic number.

22201153400 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 22201153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27695041020).

22201153400 is an abundant number, since it is smaller than the sum of its proper divisors (33188928640).

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

22201153400 is a wasteful number, since it uses less digits than its factorization.

22201153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22201153400 its reverse (435110222), we get a palindrome (22636263622).

The spelling of 22201153400 in words is "twenty-two billion, two hundred one million, one hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 101 136 170 200 202 289 340 404 425 505 578 680 808 850 1010 1156 1445 1700 1717 2020 2312 2525 2890 3400 3434 3803 4040 5050 5780 6868 7225 7606 8585 10100 11560 13736 14450 15212 17170 19015 20200 28900 29189 30424 34340 38030 42925 57800 58378 64651 68680 76060 85850 95075 116756 129302 145945 152120 171700 190150 233512 258604 291890 323255 343400 380300 384103 517208 583780 646510 729725 760600 768206 1099067 1167560 1293020 1459450 1536412 1616275 1920515 2198134 2586040 2918900 3072824 3232550 3841030 4396268 5495335 5837800 6465100 6529751 7682060 8792536 9602575 10990670 12930200 13059502 15364120 19205150 21981340 26119004 27476675 32648755 38410300 43962680 52238008 54953350 65297510 76820600 109906700 111005767 130595020 163243775 219813400 222011534 261190040 326487550 444023068 555028835 652975100 888046136 1110057670 1305950200 2220115340 2775144175 4440230680 5550288350 11100576700 22201153400