Search a number
-
+
220283858928 = 243719157271811
BaseRepresentation
bin1100110100100111110…
…0001110111111110000
3210001120221221110222210
43031021330032333300
512102120131441203
6245110315332120
721625560622650
oct3151174167760
9701527843883
10220283858928
118547054a681
1236838751040
1317a07762a73
14a939d78360
155ae40b1803
hex3349f0eff0

220283858928 has 320 divisors, whose sum is σ = 692346798080. Its totient is φ = 58954521600.

The previous prime is 220283858917. The next prime is 220283858939. The reversal of 220283858928 is 829858382022.

It is an interprime number because it is at equal distance from previous prime (220283858917) and next prime (220283858939).

It is a super-2 number, since 2×2202838589282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271619643 + ... + 271620453.

It is an arithmetic number, because the mean of its divisors is an integer number (2163583744).

Almost surely, 2220283858928 is an apocalyptic number.

220283858928 is a gapful number since it is divisible by the number (28) 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 220283858928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346173399040).

220283858928 is an abundant number, since it is smaller than the sum of its proper divisors (472062939152).

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

220283858928 is a wasteful number, since it uses less digits than its factorization.

220283858928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 220283858928 in words is "two hundred twenty billion, two hundred eighty-three million, eight hundred fifty-eight thousand, nine hundred twenty-eight".