Search a number
-
+
221232322248 = 23372188122723
BaseRepresentation
bin1100111000001001111…
…0010101011011001000
3210011001001122102001220
43032002132111123020
512111040433302443
6245344400242040
721661225466100
oct3160236253310
9704031572056
10221232322248
1185907973163
1236a62310320
1317b290c7272
14a9c9d0c200
155b4c4b2a83
hex33827956c8

221232322248 has 48 divisors (see below), whose sum is σ = 643379716080. Its totient is φ = 63209234592.

The previous prime is 221232322247. The next prime is 221232322249. The reversal of 221232322248 is 842223232122.

It is an interprime number because it is at equal distance from previous prime (221232322247) and next prime (221232322249).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221232322247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94060186 + ... + 94062537.

It is an arithmetic number, because the mean of its divisors is an integer number (13403744085).

Almost surely, 2221232322248 is an apocalyptic number.

221232322248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

221232322248 is an abundant number, since it is smaller than the sum of its proper divisors (422147393832).

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

221232322248 is a wasteful number, since it uses less digits than its factorization.

221232322248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188122746 (or 188122735 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The spelling of 221232322248 in words is "two hundred twenty-one billion, two hundred thirty-two million, three hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 188122723 376245446 564368169 752490892 1128736338 1316859061 1504981784 2257472676 2633718122 3950577183 4514945352 5267436244 7901154366 9218013427 10534872488 15802308732 18436026854 27654040281 31604617464 36872053708 55308080562 73744107416 110616161124 221232322248