Search a number
-
+
228667210000 = 2454103222007
BaseRepresentation
bin1101010011110110100…
…0001011100100010000
3210212020012200211200221
43110331220023210100
512221302301210000
6253014231522424
722343405133505
oct3247550134420
9725205624627
10228667210000
1188a82751399
1238398229414
1318742538428
14b0d35114ac
155e3508261a
hex353da0b910

228667210000 has 100 divisors (see below), whose sum is σ = 559003711552. Its totient is φ = 90578448000.

The previous prime is 228667209937. The next prime is 228667210027. The reversal of 228667210000 is 12766822.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 918997 + ... + 1141003.

Almost surely, 2228667210000 is an apocalyptic number.

228667210000 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 228667210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279501855776).

228667210000 is an abundant number, since it is smaller than the sum of its proper divisors (330336501552).

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

228667210000 is a wasteful number, since it uses less digits than its factorization.

228667210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222138 (or 222117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 228667210000 its reverse (12766822), we get a palindrome (228679976822).

The spelling of 228667210000 in words is "two hundred twenty-eight billion, six hundred sixty-seven million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 200 206 250 400 412 500 515 625 824 1000 1030 1250 1648 2000 2060 2500 2575 4120 5000 5150 8240 10000 10300 12875 20600 25750 41200 51500 64375 103000 128750 206000 222007 257500 444014 515000 888028 1030000 1110035 1776056 2220070 3552112 4440140 5550175 8880280 11100350 17760560 22200700 22866721 27750875 44401400 45733442 55501750 88802800 91466884 111003500 114333605 138754375 182933768 222007000 228667210 277508750 365867536 444014000 457334420 555017500 571668025 914668840 1110035000 1143336050 1829337680 2220070000 2286672100 2858340125 4573344200 5716680250 9146688400 11433360500 14291700625 22866721000 28583401250 45733442000 57166802500 114333605000 228667210000