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1222212330 = 232553257997
BaseRepresentation
bin100100011011001…
…0111101011101010
310011011210211010100
41020312113223222
510000341243310
6321140130230
742200430153
oct11066275352
93134724110
101222212330
115779a8239
122a1396976
131662a0881
14b847292a
1572476ec0
hex48d97aea

1222212330 has 96 divisors (see below), whose sum is σ = 3253567824. Its totient is φ = 318210048.

The previous prime is 1222212281. The next prime is 1222212359. The reversal of 1222212330 is 332122221.

1222212330 is a `hidden beast` number, since 122 + 2 + 212 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1169024481 + 53187849 = 34191^2 + 7293^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225392 + ... + 1226388.

Almost surely, 21222212330 is an apocalyptic number.

1222212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626783912).

1222212330 is an abundant number, since it is smaller than the sum of its proper divisors (2031355494).

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

1222212330 is a wasteful number, since it uses less digits than its factorization.

1222212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1222212330 is about 34960.1534607616. The cubic root of 1222212330 is about 1069.1752254779.

Adding to 1222212330 its reverse (332122221), we get a palindrome (1554334551).

The spelling of 1222212330 in words is "one billion, two hundred twenty-two million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 257 265 318 477 514 530 771 795 954 997 1285 1542 1590 1994 2313 2385 2570 2991 3855 4626 4770 4985 5982 7710 8973 9970 11565 13621 14955 17946 23130 27242 29910 40863 44865 52841 68105 81726 89730 105682 122589 136210 158523 204315 245178 256229 264205 317046 408630 475569 512458 528410 612945 768687 792615 951138 1225890 1281145 1537374 1585230 2306061 2377845 2562290 3843435 4612122 4755690 7686870 11530305 13580137 23060610 27160274 40740411 67900685 81480822 122221233 135801370 203702055 244442466 407404110 611106165 1222212330