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22390723460 = 22572176731997
BaseRepresentation
bin10100110110100101…
…110101001110000100
32010210110002121022002
4110312211311032010
5331324011122320
614141450524432
71421602003100
oct246645651604
963713077262
1022390723460
11954aa85a36
12440a736718
13215aa960c1
141125a0c900
158b0aad675
hex536975384

22390723460 has 144 divisors (see below), whose sum is σ = 58029927984. Its totient is φ = 7210893312.

The previous prime is 22390723349. The next prime is 22390723463. The reversal of 22390723460 is 6432709322.

It can be written as a sum of positive squares in 8 ways, for example, as 2281781824 + 20108941636 = 47768^2 + 141806^2 .

It is not an unprimeable number, because it can be changed into a prime (22390723463) 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, 11211182 + ... + 11213178.

It is an arithmetic number, because the mean of its divisors is an integer number (402985611).

Almost surely, 222390723460 is an apocalyptic number.

22390723460 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 22390723460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29014963992).

22390723460 is an abundant number, since it is smaller than the sum of its proper divisors (35639204524).

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

22390723460 is a wasteful number, since it uses less digits than its factorization.

22390723460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 22390723460 in words is "twenty-two billion, three hundred ninety million, seven hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 673 833 980 1190 1346 1666 1997 2380 2692 3332 3365 3994 4165 4711 6730 7988 8330 9422 9985 11441 13460 13979 16660 18844 19970 22882 23555 27958 32977 33949 39940 45764 47110 55916 57205 65954 67898 69895 80087 94220 97853 114410 131908 135796 139790 160174 164885 169745 195706 228820 237643 279580 320348 329770 339490 391412 400435 475286 489265 560609 659540 678980 800870 950572 978530 1121218 1188215 1343981 1601740 1663501 1957060 2242436 2376430 2687962 2803045 3327002 4752860 5375924 5606090 6654004 6719905 8317505 9407867 11212180 13439810 16635010 18815734 22847677 26879620 33270020 37631468 45695354 47039335 65855069 91390708 94078670 114238385 131710138 159933739 188157340 228476770 263420276 319867478 329275345 456953540 639734956 658550690 799668695 1119536173 1317101380 1599337390 2239072346 3198674780 4478144692 5597680865 11195361730 22390723460