Search a number
-
+
1223012210220 = 2232537281653507
BaseRepresentation
bin10001110011000001001…
…101010101011000101100
311022220210211020111211200
4101303001031111120230
5130014212111211340
62333502152045500
7154234245155643
oct21630115253054
94286724214750
101223012210220
11431749566249
12179040393890
138b439060748
14432a08b435a
1521c3010d330
hex11cc135562c

1223012210220 has 144 divisors (see below), whose sum is σ = 3823633483488. Its totient is φ = 316192343040.

The previous prime is 1223012210213. The next prime is 1223012210237. The reversal of 1223012210220 is 220122103221.

1223012210220 is a `hidden beast` number, since 1 + 2 + 230 + 1 + 2 + 210 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1223012210193 and 1223012210202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544707 + ... + 2198213.

It is an arithmetic number, because the mean of its divisors is an integer number (26553010302).

Almost surely, 21223012210220 is an apocalyptic number.

1223012210220 is a gapful number since it is divisible by the number (10) 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 1223012210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911816741744).

1223012210220 is an abundant number, since it is smaller than the sum of its proper divisors (2600621273268).

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

1223012210220 is a wasteful number, since it uses less digits than its factorization.

1223012210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653840 (or 653835 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1223012210220 its reverse (220122103221), we get a palindrome (1443134313441).

The spelling of 1223012210220 in words is "one trillion, two hundred twenty-three billion, twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 281 333 370 444 555 562 666 740 843 1110 1124 1332 1405 1665 1686 2220 2529 2810 3330 3372 4215 5058 5620 6660 8430 10116 10397 12645 16860 20794 25290 31191 41588 50580 51985 62382 93573 103970 124764 155955 187146 207940 311910 374292 467865 623820 653507 935730 1307014 1871460 1960521 2614028 3267535 3921042 5881563 6535070 7842084 9802605 11763126 13070140 19605210 23526252 24179759 29407815 39210420 48359518 58815630 72539277 96719036 117631260 120898795 145078554 183635467 217617831 241797590 290157108 362696385 367270934 435235662 483595180 550906401 725392770 734541868 870471324 918177335 1088089155 1101812802 1450785540 1652719203 1836354670 2176178310 2203625604 2754532005 3305438406 3672709340 4352356620 5509064010 6610876812 6794512279 8263596015 11018128020 13589024558 16527192030 20383536837 27178049116 33054384060 33972561395 40767073674 61150610511 67945122790 81534147348 101917684185 122301221022 135890245580 203835368370 244602442044 305753052555 407670736740 611506105110 1223012210220