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10022204430 = 2325737429953
BaseRepresentation
bin10010101010101111…
…01011010000001110
3221212110112201212200
421111113223100032
5131011141020210
64334254342330
7503234221620
oct112527532016
927773481780
1010022204430
114283300587
121b384ba9a6
13c394930a4
146b10a2c10
153d9ce70c0
hex2555eb40e

10022204430 has 96 divisors (see below), whose sum is σ = 30585207744. Its totient is φ = 2228871168.

The previous prime is 10022204411. The next prime is 10022204431. The reversal of 10022204430 is 3440222001.

10022204430 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 220 + 443 + 0 = 666.

10022204430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022204431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191667 + ... + 238286.

It is an arithmetic number, because the mean of its divisors is an integer number (318595914).

Almost surely, 210022204430 is an apocalyptic number.

10022204430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022204430 is an abundant number, since it is smaller than the sum of its proper divisors (20563003314).

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

10022204430 is a wasteful number, since it uses less digits than its factorization.

10022204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430010 (or 430007 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10022204430 its reverse (3440222001), we get a palindrome (13462426431).

The spelling of 10022204430 in words is "ten billion, twenty-two million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 11655 23310 429953 859906 1289859 2149765 2579718 3009671 3869577 4299530 6019342 6449295 7739154 9029013 12898590 15048355 15908261 18058026 19347885 27087039 30096710 31816522 38695770 45145065 47724783 54174078 79541305 90290130 95449566 111357827 135435195 143174349 159082610 222715654 238623915 270870390 286348698 334073481 477247830 556789135 668146962 715871745 1002220443 1113578270 1431743490 1670367405 2004440886 3340734810 5011102215 10022204430