Search a number
-
+
223100021312 = 2678319733041
BaseRepresentation
bin1100111111000111001…
…1000010101001000000
3210022212020001100112022
43033301303002221000
512123402101140222
6250253555421012
722055424614630
oct3176163025100
9708766040468
10223100021312
1186686167103
12372a38b4768
131806602b73c
14ab25da86c0
155c0b440042
hex33f1cc2a40

223100021312 has 112 divisors (see below), whose sum is σ = 512482868352. Its totient is φ = 94383390720.

The previous prime is 223100021303. The next prime is 223100021341. The reversal of 223100021312 is 213120001322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2231000213123 (a number of 35 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 73362512 + ... + 73365552.

It is an arithmetic number, because the mean of its divisors is an integer number (4575739896).

Almost surely, 2223100021312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223100021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256241434176).

223100021312 is an abundant number, since it is smaller than the sum of its proper divisors (289382847040).

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

223100021312 is a wasteful number, since it uses less digits than its factorization.

223100021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 223100021312 its reverse (213120001322), we get a palindrome (436220022634).

The spelling of 223100021312 in words is "two hundred twenty-three billion, one hundred million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 1973 2324 2656 3041 3946 4648 5312 6082 7892 9296 12164 13811 15784 18592 21287 24328 27622 31568 37184 42574 48656 55244 63136 85148 97312 110488 126272 163759 170296 194624 220976 252403 327518 340592 441952 504806 655036 681184 883904 1009612 1146313 1310072 1362368 1766821 2019224 2292626 2620144 3533642 4038448 4585252 5240288 5999893 7067284 8076896 9170504 10480576 11999786 14134568 16153792 18341008 23999572 28269136 36682016 41999251 47999144 56538272 73364032 83998502 95998288 113076544 167997004 191996576 335994008 383993152 497991119 671988016 995982238 1343976032 1991964476 2687952064 3485937833 3983928952 6971875666 7967857904 13943751332 15935715808 27887502664 31871431616 55775005328 111550010656 223100021312