Search a number
-
+
168223022500 = 22541326312
BaseRepresentation
bin1001110010101011011…
…1111001110110100100
3121002012202021222020211
42130222313321312210
510224010043210000
6205140335105204
715103503045511
oct2345267716644
9532182258224
10168223022500
1165385568725
1228729672204
1312b2ba68100
1481dba74308
15459883d7ba
hex272adf9da4

168223022500 has 135 divisors (see below), whose sum is σ = 398976843573. Its totient is φ = 62014680000.

The previous prime is 168223022479. The next prime is 168223022507. The reversal of 168223022500 is 5220322861.

The square root of 168223022500 is 410150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 166158955876 + 2064066624 = 407626^2 + 45432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168223022507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 266597185 + ... + 266597815.

Almost surely, 2168223022500 is an apocalyptic number.

168223022500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168223022500 is the 410150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168223022500

168223022500 is an abundant number, since it is smaller than the sum of its proper divisors (230753821073).

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

168223022500 is an frugal number, since it uses more digits than its factorization.

168223022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 168223022500 in words is "one hundred sixty-eight billion, two hundred twenty-three million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 625 631 650 676 845 1250 1262 1300 1625 1690 2500 2524 3155 3250 3380 4225 6310 6500 8125 8203 8450 12620 15775 16250 16406 16900 21125 31550 32500 32812 41015 42250 63100 78875 82030 84500 105625 106639 157750 164060 205075 211250 213278 315500 394375 398161 410150 422500 426556 533195 788750 796322 820300 1025375 1066390 1577500 1592644 1990805 2050750 2132780 2665975 3981610 4101500 5126875 5176093 5331950 7963220 9954025 10253750 10352186 10663900 13329875 19908050 20507500 20704372 25880465 26659750 39816100 49770125 51760930 53319500 66649375 67289209 99540250 103521860 129402325 133298750 134578418 199080500 248850625 258804650 266597500 269156836 336446045 497701250 517609300 647011625 672892090 995402500 1294023250 1345784180 1682230225 2588046500 3235058125 3364460450 6470116250 6728920900 8411151125 12940232500 16822302250 33644604500 42055755625 84111511250 168223022500