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23400314322 = 23711293172867
BaseRepresentation
bin10101110010110001…
…000111010111010010
32020101210211010121020
4111302301013113102
5340410440024242
614425553540310
71455611250510
oct256261072722
966353733536
1023400314322
119a1895a550
124650874696
13228bcb0848
1411bdb354b0
1591e5366ec
hex572c475d2

23400314322 has 64 divisors (see below), whose sum is σ = 58548317184. Its totient is φ = 6057224640.

The previous prime is 23400314317. The next prime is 23400314359. The reversal of 23400314322 is 22341300432.

It is a junction number, because it is equal to n+sod(n) for n = 23400314292 and 23400314301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48933 + ... + 221799.

It is an arithmetic number, because the mean of its divisors is an integer number (914817456).

Almost surely, 223400314322 is an apocalyptic number.

23400314322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23400314322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29274158592).

23400314322 is an abundant number, since it is smaller than the sum of its proper divisors (35148002862).

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

23400314322 is a wasteful number, since it uses less digits than its factorization.

23400314322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173183.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23400314322 its reverse (22341300432), we get a palindrome (45741614754).

The spelling of 23400314322 in words is "twenty-three billion, four hundred million, three hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 293 462 586 879 1758 2051 3223 4102 6153 6446 9669 12306 19338 22561 45122 67683 135366 172867 345734 518601 1037202 1210069 1901537 2420138 3630207 3803074 5704611 7260414 11409222 13310759 26621518 39932277 50650031 79864554 101300062 151950093 303900186 354550217 557150341 709100434 1063650651 1114300682 1671451023 2127301302 3342902046 3900052387 7800104774 11700157161 23400314322