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231222434320 = 2455389612737
BaseRepresentation
bin1101011101010111101…
…1100101101000010000
3211002211021210200111201
43113111323211220100
512242020420344240
6254115551120544
722463623156213
oct3272573455020
9732737720451
10231222434320
118a074044229
123898bb13154
1318a5ba31b97
14b296a1977a
15603456ad9a
hex35d5ee5a10

231222434320 has 80 divisors (see below), whose sum is σ = 553890642480. Its totient is φ = 89724157952.

The previous prime is 231222434273. The next prime is 231222434321. The reversal of 231222434320 is 23434222132.

It can be written as a sum of positive squares in 8 ways, for example, as 55228760064 + 175993674256 = 235008^2 + 419516^2 .

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

It is not an unprimeable number, because it can be changed into a prime (231222434321) 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, 70992 + ... + 683728.

It is an arithmetic number, because the mean of its divisors is an integer number (6923633031).

Almost surely, 2231222434320 is an apocalyptic number.

231222434320 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 231222434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276945321240).

231222434320 is an abundant number, since it is smaller than the sum of its proper divisors (322668208160).

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

231222434320 is a wasteful number, since it uses less digits than its factorization.

231222434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612892 (or 612886 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 231222434320 its reverse (23434222132), we get a palindrome (254656656452).

The spelling of 231222434320 in words is "two hundred thirty-one billion, two hundred twenty-two million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 89 106 178 212 265 356 424 445 530 712 848 890 1060 1424 1780 2120 3560 4240 4717 7120 9434 18868 23585 37736 47170 75472 94340 188680 377360 612737 1225474 2450948 3063685 4901896 6127370 9803792 12254740 24509480 32475061 49018960 54533593 64950122 109067186 129900244 162375305 218134372 259800488 272667965 324750610 436268744 519600976 545335930 649501220 872537488 1090671860 1299002440 2181343720 2598004880 2890280429 4362687440 5780560858 11561121716 14451402145 23122243432 28902804290 46244486864 57805608580 115611217160 231222434320