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10022100198 = 23112924121727
BaseRepresentation
bin10010101010101110…
…10001110011100110
3221212110100102220020
421111113101303212
5131011124201243
64334252220010
7503233306005
oct112527216346
927773312806
1010022100198
11428323a240
121b3846a606
13c39457806
146b1076c3c
153d9cc6283
hex2555d1ce6

10022100198 has 64 divisors (see below), whose sum is σ = 22715320320. Its totient is φ = 2919974400.

The previous prime is 10022100191. The next prime is 10022100203. The reversal of 10022100198 is 89100122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022100191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450411 + ... + 472137.

It is an arithmetic number, because the mean of its divisors is an integer number (354926880).

Almost surely, 210022100198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022100198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357660160).

10022100198 is an abundant number, since it is smaller than the sum of its proper divisors (12693220122).

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

10022100198 is a wasteful number, since it uses less digits than its factorization.

10022100198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22013.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 10022100198 its reverse (89100122001), we get a palindrome (99122222199).

The spelling of 10022100198 in words is "ten billion, twenty-two million, one hundred thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 241 319 482 638 723 957 1446 1914 2651 5302 6989 7953 13978 15906 20967 21727 41934 43454 65181 76879 130362 153758 230637 238997 461274 477994 630083 716991 1260166 1433982 1890249 3780498 5236207 6930913 10472414 13861826 15708621 20792739 31417242 41585478 57598277 115196554 151850003 172794831 303700006 345589662 455550009 911100018 1670350033 3340700066 5011050099 10022100198