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22223144130 = 23511711019391
BaseRepresentation
bin10100101100100110…
…100100010011000010
32010100202202200200020
4110230212210103002
5331003111103010
614113103034310
71414465415445
oct245446442302
963322680606
1022223144130
119474427120
12438259b996
132132150835
14110b66965c
158a100a470
hex52c9a44c2

22223144130 has 128 divisors (see below), whose sum is σ = 59594268672. Its totient is φ = 5258400000.

The previous prime is 22223144123. The next prime is 22223144137. The reversal of 22223144130 is 3144132222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22223144123) and next prime (22223144137).

It is a super-3 number, since 3×222231441303 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22223144130.

It is not an unprimeable number, because it can be changed into a prime (22223144137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2361735 + ... + 2371125.

It is an arithmetic number, because the mean of its divisors is an integer number (465580224).

Almost surely, 222223144130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22223144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29797134336).

22223144130 is an abundant number, since it is smaller than the sum of its proper divisors (37371124542).

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

22223144130 is a wasteful number, since it uses less digits than its factorization.

22223144130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22223144130 its reverse (3144132222), we get a palindrome (25367276352).

The spelling of 22223144130 in words is "twenty-two billion, two hundred twenty-three million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 101 110 142 165 202 213 303 330 355 426 505 606 710 781 1010 1065 1111 1515 1562 2130 2222 2343 3030 3333 3905 4686 5555 6666 7171 7810 9391 11110 11715 14342 16665 18782 21513 23430 28173 33330 35855 43026 46955 56346 71710 78881 93910 103301 107565 140865 157762 206602 215130 236643 281730 309903 394405 473286 516505 619806 666761 788810 948491 1033010 1183215 1333522 1549515 1896982 2000283 2366430 2845473 3099030 3333805 4000566 4742455 5690946 6667610 7334371 9484910 10001415 10433401 14227365 14668742 20002830 20866802 22003113 28454730 31300203 36671855 44006226 52167005 62600406 67342861 73343710 104334010 110015565 134685722 156501015 202028583 220031130 313002030 336714305 404057166 673428610 740771471 1010142915 1481542942 2020285830 2222314413 3703857355 4444628826 7407714710 11111572065 22223144130