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2154105200 = 245213616791
BaseRepresentation
bin1000000001100101…
…0000100101110000
312120010022212211002
42000121100211300
513402422331300
6553425541132
7104244410042
oct20031204560
95503285732
102154105200
11a05a33135
125014a47a8
13284382980
14166131a92
15c91a35d5
hex80650970

2154105200 has 120 divisors (see below), whose sum is σ = 5665533216. Its totient is φ = 782208000.

The previous prime is 2154105179. The next prime is 2154105203. The reversal of 2154105200 is 25014512.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154105203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313805 + ... + 320595.

Almost surely, 22154105200 is an apocalyptic number.

2154105200 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 2154105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832766608).

2154105200 is an abundant number, since it is smaller than the sum of its proper divisors (3511428016).

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

2154105200 is a wasteful number, since it uses less digits than its factorization.

2154105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2154105200 is about 46412.3388766393. The cubic root of 2154105200 is about 1291.4838202965.

Adding to 2154105200 its reverse (25014512), we get a palindrome (2179119712).

The spelling of 2154105200 in words is "two billion, one hundred fifty-four million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 61 65 80 100 104 122 130 200 208 244 260 305 325 400 488 520 610 650 793 976 1040 1220 1300 1525 1586 2440 2600 3050 3172 3965 4880 5200 6100 6344 6791 7930 12200 12688 13582 15860 19825 24400 27164 31720 33955 39650 54328 63440 67910 79300 88283 108656 135820 158600 169775 176566 271640 317200 339550 353132 414251 441415 543280 679100 706264 828502 882830 1358200 1412528 1657004 1765660 2071255 2207075 2716400 3314008 3531320 4142510 4414150 5385263 6628016 7062640 8285020 8828300 10356275 10770526 16570040 17656600 20712550 21541052 26926315 33140080 35313200 41425100 43082104 53852630 82850200 86164208 107705260 134631575 165700400 215410520 269263150 430821040 538526300 1077052600 2154105200