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2255653224 = 2333114432143
BaseRepresentation
bin1000011001110010…
…1000100101101000
312211012102001112000
42012130220211220
514104421400344
61011454251000
7106616510316
oct20634504550
95735361460
102255653224
11a58291720
1252b4b6a60
1329c418c66
141758070b6
15d3061a69
hex86728968

2255653224 has 128 divisors (see below), whose sum is σ = 6853939200. Its totient is φ = 681670080.

The previous prime is 2255653199. The next prime is 2255653241. The reversal of 2255653224 is 4223565522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051497 + ... + 1053639.

It is an arithmetic number, because the mean of its divisors is an integer number (53546400).

Almost surely, 22255653224 is an apocalyptic number.

2255653224 is a gapful number since it is divisible by the number (24) 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 2255653224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426969600).

2255653224 is an abundant number, since it is smaller than the sum of its proper divisors (4598285976).

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

2255653224 is a wasteful number, since it uses less digits than its factorization.

2255653224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2602 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 2255653224 is about 47493.7177319275. The cubic root of 2255653224 is about 1311.4672339285.

The spelling of 2255653224 in words is "two billion, two hundred fifty-five million, six hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 443 594 792 886 1188 1329 1772 2143 2376 2658 3544 3987 4286 4873 5316 6429 7974 8572 9746 10632 11961 12858 14619 15948 17144 19287 19492 23573 23922 25716 29238 31896 38574 38984 43857 47146 47844 51432 57861 58476 70719 77148 87714 94292 95688 115722 116952 131571 141438 154296 175428 188584 212157 231444 263142 282876 350856 424314 462888 526284 565752 636471 848628 949349 1052568 1272942 1697256 1898698 2545884 2848047 3797396 5091768 5696094 7594792 8544141 10442839 11392188 17088282 20885678 22784376 25632423 31328517 34176564 41771356 51264846 62657034 68353128 83542712 93985551 102529692 125314068 187971102 205059384 250628136 281956653 375942204 563913306 751884408 1127826612 2255653224