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22220131120 = 2451134772767
BaseRepresentation
bin10100101100011011…
…000100101100110000
32010100120002121121021
4110230123010230300
5331001323143440
614112514305224
71414430666245
oct245433045460
963316077537
1022220131120
119472759430
124381588214
1321316372a5
14110b0c35cc
158a0b1284a
hex52c6c4b30

22220131120 has 80 divisors (see below), whose sum is σ = 56521525248. Its totient is φ = 8056651520.

The previous prime is 22220131117. The next prime is 22220131123. The reversal of 22220131120 is 2113102222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22220131117) and next prime (22220131123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22220131094 and 22220131103.

It is not an unprimeable number, because it can be changed into a prime (22220131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268977 + ... + 341743.

Almost surely, 222220131120 is an apocalyptic number.

22220131120 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 22220131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28260762624).

22220131120 is an abundant number, since it is smaller than the sum of its proper divisors (34301394128).

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

22220131120 is a wasteful number, since it uses less digits than its factorization.

22220131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73138 (or 73132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22220131120 its reverse (2113102222), we get a palindrome (24333233342).

The spelling of 22220131120 in words is "twenty-two billion, two hundred twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 347 440 694 880 1388 1735 2776 3470 3817 5552 6940 7634 13880 15268 19085 27760 30536 38170 61072 72767 76340 145534 152680 291068 305360 363835 582136 727670 800437 1164272 1455340 1600874 2910680 3201748 4002185 5821360 6403496 8004370 12806992 16008740 25250149 32017480 50500298 64034960 101000596 126250745 202001192 252501490 277751639 404002384 505002980 555503278 1010005960 1111006556 1388758195 2020011920 2222013112 2777516390 4444026224 5555032780 11110065560 22220131120