Search a number
-
+
223252161000 = 23353116765217
BaseRepresentation
bin1100111111101011011…
…1011010000111101000
3210100020211022211221120
43033322313122013220
512124210023123000
6250321032335240
722062253025601
oct3177267320750
9710224284846
10223252161000
118675402a990
1237326844520
131808b6c951b
14ab3c28cda8
155c199936a0
hex33fadda1e8

223252161000 has 128 divisors (see below), whose sum is σ = 759869285760. Its totient is φ = 54121728000.

The previous prime is 223252160981. The next prime is 223252161001. The reversal of 223252161000 is 161252322.

It is a super-3 number, since 3×2232521610003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (223252161001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3349609 + ... + 3415608.

It is an arithmetic number, because the mean of its divisors is an integer number (5936478795).

Almost surely, 2223252161000 is an apocalyptic number.

223252161000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223252161000 is an abundant number, since it is smaller than the sum of its proper divisors (536617124760).

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

223252161000 is a wasteful number, since it uses less digits than its factorization.

223252161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765252 (or 6765238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 223252161000 in words is "two hundred twenty-three billion, two hundred fifty-two million, one hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 6765217 13530434 20295651 27060868 33826085 40591302 54121736 67652170 74417387 81182604 101478255 135304340 148834774 162365208 169130425 202956510 223252161 270608680 297669548 338260850 372086935 405913020 446504322 507391275 595339096 676521700 744173870 811826040 845652125 893008644 1014782550 1116260805 1353043400 1488347740 1691304250 1786017288 1860434675 2029565100 2232521610 2536956375 2976695480 3382608500 3720869350 4059130200 4465043220 5073912750 5581304025 6765217000 7441738700 8930086440 9302173375 10147825500 11162608050 14883477400 18604346750 20295651000 22325216100 27906520125 37208693500 44650432200 55813040250 74417387000 111626080500 223252161000