Search a number
-
+
102022202200 = 23522293177027
BaseRepresentation
bin101111100000011111…
…1110100001101011000
3100202100002202212011111
41133000333310031120
53132420140432300
6114511321510104
710241130260512
oct1370077641530
9322302685144
10102022202200
113a2a3967596
1217933042334
13980b75b6a9
144d1b858bb2
1529c1a359ba
hex17c0ff4358

102022202200 has 96 divisors (see below), whose sum is σ = 239022982800. Its totient is φ = 40496739840.

The previous prime is 102022202143. The next prime is 102022202209. The reversal of 102022202200 is 2202220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022202209) 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, 14515087 + ... + 14522113.

Almost surely, 2102022202200 is an apocalyptic number.

102022202200 is a gapful number since it is divisible by the number (10) 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 102022202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119511491400).

102022202200 is an abundant number, since it is smaller than the sum of its proper divisors (137000780600).

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

102022202200 is a wasteful number, since it uses less digits than its factorization.

102022202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 102022202200 its reverse (2202220201), we get a palindrome (104224422401).

The spelling of 102022202200 in words is "one hundred two billion, twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 317 458 634 916 1145 1268 1585 1832 2290 2536 3170 4580 5725 6340 7027 7925 9160 11450 12680 14054 15850 22900 28108 31700 35135 45800 56216 63400 70270 72593 140540 145186 175675 281080 290372 351350 362965 580744 702700 725930 1405400 1451860 1609183 1814825 2227559 2903720 3218366 3629650 4455118 6436732 7259300 8045915 8910236 11137795 12873464 14518600 16091830 17820472 22275590 32183660 40229575 44551180 55688975 64367320 80459150 89102360 111377950 160918300 222755900 321836600 445511800 510111011 1020222022 2040444044 2550555055 4080888088 5101110110 10202220220 12752775275 20404440440 25505550550 51011101100 102022202200