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197400198100 = 22527431654293
BaseRepresentation
bin1011011111010111110…
…1111111101111010100
3200212112011022001202011
42313311331333233110
511213233422314400
6230403455154004
720155521666430
oct2676575775724
9625464261664
10197400198100
11767982a1596
1232310b15904
13157cb818461
1497a8ad19c0
1552050d28ba
hex2df5f7fbd4

197400198100 has 72 divisors (see below), whose sum is σ = 490689093888. Its totient is φ = 67522934400.

The previous prime is 197400198091. The next prime is 197400198143. The reversal of 197400198100 is 1891004791.

197400198100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1974001981002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 25447 + ... + 628846.

It is an arithmetic number, because the mean of its divisors is an integer number (6815126304).

Almost surely, 2197400198100 is an apocalyptic number.

197400198100 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 197400198100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245344546944).

197400198100 is an abundant number, since it is smaller than the sum of its proper divisors (293288895788).

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

197400198100 is a wasteful number, since it uses less digits than its factorization.

197400198100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654745 (or 654738 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 40.

The spelling of 197400198100 in words is "one hundred ninety-seven billion, four hundred million, one hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 431 700 862 1724 2155 3017 4310 6034 8620 10775 12068 15085 21550 30170 43100 60340 75425 150850 301700 654293 1308586 2617172 3271465 4580051 6542930 9160102 13085860 16357325 18320204 22900255 32714650 45800510 65429300 91601020 114501275 229002550 282000283 458005100 564000566 1128001132 1410001415 1974001981 2820002830 3948003962 5640005660 7050007075 7896007924 9870009905 14100014150 19740019810 28200028300 39480039620 49350049525 98700099050 197400198100