Search a number
-
+
223714920 = 2335111313037
BaseRepresentation
bin11010101010110…
…01111001101000
3120120221220011210
431111121321220
5424232334140
634110553120
75354355042
oct1525317150
9516856153
10223714920
11105310370
1262b087a0
133746b5c0
14219d6a92
1514990d80
hexd559e68

223714920 has 128 divisors (see below), whose sum is σ = 788538240. Its totient is φ = 50058240.

The previous prime is 223714889. The next prime is 223714921. The reversal of 223714920 is 29417322.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (223714921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10642 + ... + 23678.

It is an arithmetic number, because the mean of its divisors is an integer number (6160455).

Almost surely, 2223714920 is an apocalyptic number.

223714920 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 223714920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394269120).

223714920 is an abundant number, since it is smaller than the sum of its proper divisors (564823320).

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

223714920 is a wasteful number, since it uses less digits than its factorization.

223714920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13071 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 223714920 is about 14957.1026606091. The cubic root of 223714920 is about 607.0600448858.

The spelling of 223714920 in words is "two hundred twenty-three million, seven hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 13037 17160 26074 39111 52148 65185 78222 104296 130370 143407 156444 169481 195555 260740 286814 312888 338962 391110 430221 508443 521480 573628 677924 717035 782220 847405 860442 1016886 1147256 1355848 1434070 1564440 1694810 1720884 1864291 2033772 2151105 2542215 2868140 3389620 3441768 3728582 4067544 4302210 5084430 5592873 5736280 6779240 7457164 8604420 9321455 10168860 11185746 14914328 17208840 18642910 20337720 22371492 27964365 37285820 44742984 55928730 74571640 111857460 223714920