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1223013312 = 26329072341
BaseRepresentation
bin100100011100101…
…1011001111000000
310011020022111212100
41020321123033000
510001042411222
6321205230400
742210304323
oct11071331700
93136274770
101223013312
115783a5004
122a1702400
131664c1321
14b86007ba
15725844ac
hex48e5b3c0

1223013312 has 84 divisors (see below), whose sum is σ = 3510910936. Its totient is φ = 407047680.

The previous prime is 1223013283. The next prime is 1223013349. The reversal of 1223013312 is 2133103221.

It is a super-2 number, since 2×12230133122 = 2991523122658418688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521262 + ... + 523602.

Almost surely, 21223013312 is an apocalyptic number.

1223013312 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 1223013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755455468).

1223013312 is an abundant number, since it is smaller than the sum of its proper divisors (2287897624).

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

1223013312 is a wasteful number, since it uses less digits than its factorization.

1223013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1223013312 is about 34971.6072264344. The cubic root of 1223013312 is about 1069.4087373039.

Adding to 1223013312 its reverse (2133103221), we get a palindrome (3356116533).

The spelling of 1223013312 in words is "one billion, two hundred twenty-three million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 907 1814 2341 2721 3628 4682 5442 7023 7256 8163 9364 10884 14046 14512 16326 18728 21069 21768 28092 29024 32652 37456 42138 43536 56184 58048 65304 74912 84276 87072 112368 130608 149824 168552 174144 224736 261216 337104 449472 522432 674208 1348416 2123287 4246574 6369861 8493148 12739722 16986296 19109583 25479444 33972592 38219166 50958888 67945184 76438332 101917776 135890368 152876664 203835552 305753328 407671104 611506656 1223013312