Search a number
-
+
201002223000 = 23353130751263
BaseRepresentation
bin1011101100110010101…
…0101000010110011000
3201012211012010212222210
42323030222220112120
511243123032114000
6232201131115120
720344010463645
oct2731452502630
9635735125883
10201002223000
1178276573177
1232b572a2aa0
1315c53b57137
149a2b24adcc
155366444350
hex2eccaa8598

201002223000 has 128 divisors (see below), whose sum is σ = 627619000320. Its totient is φ = 53558537600.

The previous prime is 201002222983. The next prime is 201002223017. The reversal of 201002223000 is 322200102.

It is an interprime number because it is at equal distance from previous prime (201002222983) and next prime (201002223017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 3895369 + ... + 3946631.

It is an arithmetic number, because the mean of its divisors is an integer number (4903273440).

Almost surely, 2201002223000 is an apocalyptic number.

201002223000 is a gapful number since it is divisible by the number (20) 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 201002223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313809500160).

201002223000 is an abundant number, since it is smaller than the sum of its proper divisors (426616777320).

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

201002223000 is a wasteful number, since it uses less digits than its factorization.

201002223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52594 (or 52580 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 201002223000 its reverse (322200102), we get a palindrome (201324423102).

The spelling of 201002223000 in words is "two hundred one billion, two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1307 1500 2614 3000 3921 5228 6535 7842 10456 13070 15684 19605 26140 31368 32675 39210 51263 52280 65350 78420 98025 102526 130700 153789 156840 163375 196050 205052 256315 261400 307578 326750 392100 410104 490125 512630 615156 653500 768945 784200 980250 1025260 1230312 1281575 1307000 1537890 1960500 2050520 2563150 3075780 3844725 3921000 5126300 6151560 6407875 7689450 10252600 12815750 15378900 19223625 25631500 30757800 38447250 51263000 67000741 76894500 134001482 153789000 201002223 268002964 335003705 402004446 536005928 670007410 804008892 1005011115 1340014820 1608017784 1675018525 2010022230 2680029640 3350037050 4020044460 5025055575 6700074100 8040088920 8375092625 10050111150 13400148200 16750185250 20100222300 25125277875 33500370500 40200444600 50250555750 67000741000 100501111500 201002223000