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1223421312 = 2736195147
BaseRepresentation
bin100100011101011…
…1110110110000000
310011021002020112110
41020322332312000
510001143440222
6321222055320
742213623661
oct11072766600
93137066473
101223421312
115786535a3
122a187a540
13166604c49
14b86a9368
157261530c
hex48ebed80

1223421312 has 64 divisors (see below), whose sum is σ = 3255595200. Its totient is φ = 407069184.

The previous prime is 1223421299. The next prime is 1223421349. The reversal of 1223421312 is 2131243221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235123 + ... + 240269.

It is an arithmetic number, because the mean of its divisors is an integer number (50868675).

Almost surely, 21223421312 is an apocalyptic number.

1223421312 is a gapful number since it is divisible by the number (12) 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 1223421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627797600).

1223421312 is an abundant number, since it is smaller than the sum of its proper divisors (2032173888).

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

1223421312 is an equidigital number, since it uses as much as digits as its factorization.

1223421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5771 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1223421312 is about 34977.4400435481. The cubic root of 1223421312 is about 1069.5276431383.

Adding to 1223421312 its reverse (2131243221), we get a palindrome (3354664533).

The spelling of 1223421312 in words is "one billion, two hundred twenty-three million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 619 1238 1857 2476 3714 4952 5147 7428 9904 10294 14856 15441 19808 20588 29712 30882 39616 41176 59424 61764 79232 82352 118848 123528 164704 237696 247056 329408 494112 658816 988224 1976448 3185993 6371986 9557979 12743972 19115958 25487944 38231916 50975888 76463832 101951776 152927664 203903552 305855328 407807104 611710656 1223421312