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222330131031200 = 2552966128766449
BaseRepresentation
bin110010100011010101000100…
…011110111010010010100000
31002011012112221002201102022212
4302203111010132322102200
5213120124102020444300
62104505015134221252
764554551623323143
oct6243250436722240
91064175832642285
10222330131031200
1164928751918145
1220b2909b054828
1397098451b790a
143cc8b9b46a05a
151aa84b496e935
hexca35447ba4a0

222330131031200 has 72 divisors (see below), whose sum is σ = 542819632124700. Its totient is φ = 88922844057600.

The previous prime is 222330131031157. The next prime is 222330131031209. The reversal of 222330131031200 is 2130131033222.

It can be written as a sum of positive squares in 6 ways, for example, as 7783452733456 + 214546678297744 = 2789884^2 + 14647412^2 .

It is a super-2 number, since 2×2223301310312002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222330131031209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6654425 + ... + 22112024.

Almost surely, 2222330131031200 is an apocalyptic number.

222330131031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222330131031200 is an abundant number, since it is smaller than the sum of its proper divisors (320489501093500).

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

222330131031200 is a wasteful number, since it uses less digits than its factorization.

222330131031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28776130 (or 28776117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 222330131031200 its reverse (2130131033222), we get a palindrome (224460262064422).

The spelling of 222330131031200 in words is "two hundred twenty-two trillion, three hundred thirty billion, one hundred thirty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 9661 19322 38644 48305 77288 96610 154576 193220 241525 309152 386440 483050 772880 966100 1545760 1932200 3864400 7728800 28766449 57532898 115065796 143832245 230131592 287664490 460263184 575328980 719161225 920526368 1150657960 1438322450 2301315920 2876644900 4602631840 5753289800 11506579600 23013159200 277912663789 555825327578 1111650655156 1389563318945 2223301310312 2779126637890 4446602620624 5558253275780 6947816594725 8893205241248 11116506551560 13895633189450 22233013103120 27791266378900 44466026206240 55582532757800 111165065515600 222330131031200