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226644240 = 24353725523
BaseRepresentation
bin11011000001001…
…01000100010000
3120210110201110010
431200211010100
5431010103430
634253434520
75421305244
oct1540450420
9523421403
10226644240
11106a31199
1263a9ba40
1337c55a24
142215a424
1514d6dcb0
hexd825110

226644240 has 80 divisors (see below), whose sum is σ = 721614528. Its totient is φ = 58802688.

The previous prime is 226644233. The next prime is 226644241. The reversal of 226644240 is 42446622.

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

It is a super-2 number, since 2×2266442402 = 102735223050355200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 226644198 and 226644207.

It is not an unprimeable number, because it can be changed into a prime (226644241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3882 + ... + 21641.

Almost surely, 2226644240 is an apocalyptic number.

226644240 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 226644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360807264).

226644240 is an abundant number, since it is smaller than the sum of its proper divisors (494970288).

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

226644240 is a wasteful number, since it uses less digits than its factorization.

226644240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25576 (or 25570 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 226644240 is about 15054.7082336391. The cubic root of 226644240 is about 609.6981755067.

The spelling of 226644240 in words is "two hundred twenty-six million, six hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 25523 51046 76569 102092 127615 153138 204184 255230 306276 382845 408368 510460 612552 765690 944351 1020920 1225104 1531380 1888702 2041840 2833053 3062760 3777404 4721755 5666106 6125520 7554808 9443510 11332212 14165265 15109616 18887020 22664424 28330530 37774040 45328848 56661060 75548080 113322120 226644240