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223021311312 = 243241166311593
BaseRepresentation
bin1100111110110100011…
…0110010010101010000
3210022122201221110201010
43033231012302111100
512123221423430222
6250242104410520
722053450603462
oct3175506622520
9708581843633
10223021311312
1186645797118
1237281476a40
1318052930587
14ab1975a132
155c0459380c
hex33ed1b2550

223021311312 has 80 divisors (see below), whose sum is σ = 578926819328. Its totient is φ = 73981071360.

The previous prime is 223021311251. The next prime is 223021311313. The reversal of 223021311312 is 213113120322.

223021311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2230213113122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223021311313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19231788 + ... + 19243380.

Almost surely, 2223021311312 is an apocalyptic number.

It is an amenable number.

223021311312 is an abundant number, since it is smaller than the sum of its proper divisors (355905508016).

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

223021311312 is a wasteful number, since it uses less digits than its factorization.

223021311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 223021311312 its reverse (213113120322), we get a palindrome (436134431634).

The spelling of 223021311312 in words is "two hundred twenty-three billion, twenty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 241 482 723 964 1446 1663 1928 2892 3326 3856 4989 5784 6652 9978 11568 11593 13304 19956 23186 26608 34779 39912 46372 69558 79824 92744 139116 185488 278232 400783 556464 801566 1202349 1603132 2404698 2793913 3206264 4809396 5587826 6412528 8381739 9618792 11175652 16763478 19237584 19279159 22351304 33526956 38558318 44702608 57837477 67053912 77116636 115674954 134107824 154233272 231349908 308466544 462699816 925399632 4646277319 9292554638 13938831957 18585109276 27877663914 37170218552 55755327828 74340437104 111510655656 223021311312