Search a number
-
+
220223234320 = 24515757130707
BaseRepresentation
bin1100110100011001010…
…0111110000100010000
3210001102201212102122221
43031012110332010100
512102004121444240
6245100312110424
721624223414555
oct3150624760420
9701381772587
10220223234320
118543a3024a1
1236820395414
13179c802770b
14a931cb6a2c
155addad8a4a
hex334653e110

220223234320 has 80 divisors (see below), whose sum is σ = 516199514688. Its totient is φ = 87372080640.

The previous prime is 220223234311. The next prime is 220223234347. The reversal of 220223234320 is 23432322022.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7156407 + ... + 7187113.

Almost surely, 2220223234320 is an apocalyptic number.

220223234320 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 220223234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258099757344).

220223234320 is an abundant number, since it is smaller than the sum of its proper divisors (295976280368).

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

220223234320 is a wasteful number, since it uses less digits than its factorization.

220223234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31448 (or 31442 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 220223234320 its reverse (23432322022), we get a palindrome (243655556342).

The spelling of 220223234320 in words is "two hundred twenty billion, two hundred twenty-three million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 571 628 785 1142 1256 1570 2284 2512 2855 3140 4568 5710 6280 9136 11420 12560 22840 30707 45680 61414 89647 122828 153535 179294 245656 307070 358588 448235 491312 614140 717176 896470 1228280 1434352 1792940 2456560 3585880 4820999 7171760 9641998 17533697 19283996 24104995 35067394 38567992 48209990 70134788 77135984 87668485 96419980 140269576 175336970 192839960 280539152 350673940 385679920 701347880 1402695760 2752790429 5505580858 11011161716 13763952145 22022323432 27527904290 44044646864 55055808580 110111617160 220223234320