Search a number
-
+
102022232200 = 2352783986857
BaseRepresentation
bin101111100000011111…
…1111011100010001000
3100202100002211101022121
41133000333323202020
53132420142412300
6114511322301024
710241130444130
oct1370077734210
9322302741277
10102022232200
113a2a3988089
1217933057774
13980b76c245
144d1b865ac0
1529c1a3e81a
hex17c0ffb888

102022232200 has 96 divisors (see below), whose sum is σ = 271413878400. Its totient is φ = 34936957440.

The previous prime is 102022232183. The next prime is 102022232231. The reversal of 102022232200 is 2232220201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131172 + ... + 1218028.

It is an arithmetic number, because the mean of its divisors is an integer number (2827227900).

Almost surely, 2102022232200 is an apocalyptic number.

102022232200 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 102022232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135706939200).

102022232200 is an abundant number, since it is smaller than the sum of its proper divisors (169391646200).

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

102022232200 is a wasteful number, since it uses less digits than its factorization.

102022232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87719 (or 87710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 102022232200 its reverse (2232220201), we get a palindrome (104254452401).

The spelling of 102022232200 in words is "one hundred two billion, twenty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 839 1400 1678 3356 4195 5873 6712 8390 11746 16780 20975 23492 29365 33560 41950 46984 58730 83900 86857 117460 146825 167800 173714 234920 293650 347428 434285 587300 607999 694856 868570 1174600 1215998 1737140 2171425 2431996 3039995 3474280 4342850 4863992 6079990 8685700 12159980 15199975 17371400 24319960 30399950 60799900 72873023 121599800 145746046 291492092 364365115 510111161 582984184 728730230 1020222322 1457460460 1821825575 2040444644 2550555805 2914920920 3643651150 4080889288 5101111610 7287302300 10202223220 12752779025 14574604600 20404446440 25505558050 51011116100 102022232200