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54224035000 = 235453732803
BaseRepresentation
bin110010100000000000…
…010001110010111000
312011221222002101022121
4302200000101302320
51342022323110000
640524333131024
73626502456412
oct624000216270
9164858071277
1054224035000
1120aa6066073
12a613629a74
135161c12615
1428a57219b2
151625620b1a
hexca0011cb8

54224035000 has 160 divisors (see below), whose sum is σ = 131264044560. Its totient is φ = 20981376000.

The previous prime is 54224034959. The next prime is 54224035007. The reversal of 54224035000 is 53042245.

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 (54224035007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19343599 + ... + 19346401.

Almost surely, 254224035000 is an apocalyptic number.

54224035000 is a gapful number since it is divisible by the number (50) 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 54224035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65632022280).

54224035000 is an abundant number, since it is smaller than the sum of its proper divisors (77040009560).

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

54224035000 is a wasteful number, since it uses less digits than its factorization.

54224035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 54224035000 its reverse (53042245), we get a palindrome (54277077245).

The spelling of 54224035000 in words is "fifty-four billion, two hundred twenty-four million, thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 73 100 106 125 146 200 212 250 265 292 365 424 500 530 584 625 730 1000 1060 1250 1325 1460 1825 2120 2500 2650 2803 2920 3650 3869 5000 5300 5606 6625 7300 7738 9125 10600 11212 13250 14015 14600 15476 18250 19345 22424 26500 28030 30952 33125 36500 38690 45625 53000 56060 66250 70075 73000 77380 91250 96725 112120 132500 140150 148559 154760 182500 193450 204619 265000 280300 297118 350375 365000 386900 409238 483625 560600 594236 700750 742795 773800 818476 967250 1023095 1188472 1401500 1485590 1636952 1751875 1934500 2046190 2418125 2803000 2971180 3503750 3713975 3869000 4092380 4836250 5115475 5942360 7007500 7427950 8184760 9672500 10230950 10844807 14015000 14855900 18569875 19345000 20461900 21689614 25577375 29711800 37139750 40923800 43379228 51154750 54224035 74279500 86758456 92849375 102309500 108448070 127886875 148559000 185698750 204619000 216896140 255773750 271120175 371397500 433792280 511547500 542240350 742795000 1023095000 1084480700 1355600875 2168961400 2711201750 5422403500 6778004375 10844807000 13556008750 27112017500 54224035000