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293223320 = 235132324517
BaseRepresentation
bin10001011110100…
…011101110011000
3202102202021202222
4101132203232120
51100031121240
645032443212
710160233325
oct2136435630
9672667688
10293223320
11140576025
1282249508
1348997430
142ad2bb4c
151ab20eb5
hex117a3b98

293223320 has 64 divisors (see below), whose sum is σ = 741424320. Its totient is φ = 103555584.

The previous prime is 293223319. The next prime is 293223341. The reversal of 293223320 is 23322392.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 293223320.

It is a congruent number.

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, 299 + ... + 24218.

It is an arithmetic number, because the mean of its divisors is an integer number (11584755).

Almost surely, 2293223320 is an apocalyptic number.

293223320 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 293223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370712160).

293223320 is an abundant number, since it is smaller than the sum of its proper divisors (448201000).

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

293223320 is a wasteful number, since it uses less digits than its factorization.

293223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24564 (or 24560 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 293223320 is about 17123.7647729698. The cubic root of 293223320 is about 664.3539205302.

The spelling of 293223320 in words is "two hundred ninety-three million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 24517 49034 98068 122585 196136 245170 318721 490340 563891 637442 980680 1127782 1274884 1593605 2255564 2549768 2819455 3187210 4511128 5638910 6374420 7330583 11277820 12748840 14661166 22555640 29322332 36652915 58644664 73305830 146611660 293223320