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222330131120 = 24523122998317
BaseRepresentation
bin1100111100001111101…
…0001001001010110000
3210020212120100212201202
43033003322021022300
512120313003143440
6250045334150332
722030355635046
oct3170372111260
9706776325652
10222330131120
1186320621219
1237109ab23a8
1317c7268b806
14aa91a3a396
155bb3a64615
hex33c3e892b0

222330131120 has 80 divisors (see below), whose sum is σ = 539836608960. Its totient is φ = 84995361792.

The previous prime is 222330131117. The next prime is 222330131123. The reversal of 222330131120 is 21131033222.

It is an interprime number because it is at equal distance from previous prime (222330131117) and next prime (222330131123).

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 222330131092 and 222330131101.

It is not an unprimeable number, because it can be changed into a prime (222330131123) 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, 2212202 + ... + 2310518.

It is an arithmetic number, because the mean of its divisors is an integer number (6747957612).

Almost surely, 2222330131120 is an apocalyptic number.

222330131120 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 222330131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269918304480).

222330131120 is an abundant number, since it is smaller than the sum of its proper divisors (317506477840).

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

222330131120 is a wasteful number, since it uses less digits than its factorization.

222330131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99582 (or 99576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 222330131120 its reverse (21131033222), we get a palindrome (243461164342).

The spelling of 222330131120 in words is "two hundred twenty-two billion, three hundred thirty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1229 1840 2458 4916 6145 9832 12290 19664 24580 28267 49160 56534 98317 98320 113068 141335 196634 226136 282670 393268 452272 491585 565340 786536 983170 1130680 1573072 1966340 2261291 2261360 3932680 4522582 7865360 9045164 11306455 18090328 22612910 36180656 45225820 90451640 120831593 180903280 241663186 483326372 604157965 966652744 1208315930 1933305488 2416631860 2779126639 4833263720 5558253278 9666527440 11116506556 13895633195 22233013112 27791266390 44466026224 55582532780 111165065560 222330131120