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22453554420 = 2232511101112279
BaseRepresentation
bin10100111010010101…
…100000110011110100
32010221211022202011200
4110322111200303310
5331441102220140
614152013332500
71423264030533
oct247225406364
963854282150
1022453554420
11958249a850
124427797130
13216aac479b
1411300c631a
158b6370030
hex53a560cf4

22453554420 has 144 divisors (see below), whose sum is σ = 75037173120. Its totient is φ = 5389344000.

The previous prime is 22453554379. The next prime is 22453554433. The reversal of 22453554420 is 2445535422.

22453554420 is a `hidden beast` number, since 2 + 245 + 355 + 44 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 143841 + ... + 256119.

It is an arithmetic number, because the mean of its divisors is an integer number (521091480).

Almost surely, 222453554420 is an apocalyptic number.

22453554420 is a gapful number since it is divisible by the number (20) 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 22453554420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37518586560).

22453554420 is an abundant number, since it is smaller than the sum of its proper divisors (52583618700).

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

22453554420 is a wasteful number, since it uses less digits than its factorization.

22453554420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112406 (or 112401 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 22453554420 in words is "twenty-two billion, four hundred fifty-three million, five hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 101 110 132 165 180 198 202 220 303 330 396 404 495 505 606 660 909 990 1010 1111 1212 1515 1818 1980 2020 2222 3030 3333 3636 4444 4545 5555 6060 6666 9090 9999 11110 13332 16665 18180 19998 22220 33330 39996 49995 66660 99990 112279 199980 224558 336837 449116 561395 673674 1010511 1122790 1235069 1347348 1684185 2021022 2245580 2470138 3368370 3705207 4042044 4940276 5052555 6175345 6736740 7410414 10105110 11115621 11340179 12350690 14820828 18526035 20210220 22231242 22680358 24701380 34020537 37052070 44462484 45360716 55578105 56700895 68041074 74104140 102061611 111156210 113401790 124741969 136082148 170102685 204123222 222312420 226803580 249483938 340205370 374225907 408246444 498967876 510308055 623709845 680410740 748451814 1020616110 1122677721 1247419690 1496903628 1871129535 2041232220 2245355442 2494839380 3742259070 4490710884 5613388605 7484518140 11226777210 22453554420