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22210404020430 = 2354159510159999
BaseRepresentation
bin1010000110011010000110…
…01111011111000011001110
32220122021221020121001002020
411003031003033133003032
510402343401412123210
6115123152503311010
74451435342134023
oct503150317370316
986567836531066
1022210404020430
11709341a05560a
1225a863744b466
13c51580472c82
1456adbc88154a
15287b248a0770
hex1433433df0ce

22210404020430 has 128 divisors (see below), whose sum is σ = 55542412800000. Its totient is φ = 5679170688000.

The previous prime is 22210404020323. The next prime is 22210404020447. The reversal of 22210404020430 is 3402040401222.

It is a self number, because there is not a number n which added to its sum of digits gives 22210404020430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370149571 + ... + 370209569.

It is an arithmetic number, because the mean of its divisors is an integer number (433925100000).

Almost surely, 222210404020430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22210404020430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27771206400000).

22210404020430 is an abundant number, since it is smaller than the sum of its proper divisors (33332008779570).

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

22210404020430 is a wasteful number, since it uses less digits than its factorization.

22210404020430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65210.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22210404020430 its reverse (3402040401222), we get a palindrome (25612444421652).

The spelling of 22210404020430 in words is "twenty-two trillion, two hundred ten billion, four hundred four million, twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 59 82 118 123 177 205 246 295 354 410 590 615 885 1230 1770 2419 4838 5101 7257 10202 12095 14514 15303 24190 25505 30606 36285 51010 59999 72570 76515 119998 153030 179997 209141 299995 300959 359994 418282 599990 601918 627423 899985 902877 1045705 1254846 1504795 1799970 1805754 2091410 2459959 3009590 3137115 3539941 4514385 4919918 6274230 7079882 7379877 9028770 10619823 12299795 12339319 14759754 17699705 21239646 24599590 24678638 35399410 36899385 37017957 53099115 61696595 73798770 74035914 106198230 123393190 145137581 185089785 290275162 306054899 370179570 435412743 612109798 725687905 870825486 918164697 1451375810 1530274495 1836329394 2177063715 3060548990 4354127430 4590823485 9181646970 12548250859 18057239041 25096501718 36114478082 37644752577 54171717123 62741254295 75289505154 90286195205 108343434246 125482508590 180572390410 188223762885 270858585615 376447525770 541717171230 740346800681 1480693601362 2221040402043 3701734003405 4442080804086 7403468006810 11105202010215 22210404020430