Search a number
-
+
226206120 = 23357535081
BaseRepresentation
bin11010111101110…
…10000110101000
3120202122110110110
431132322012220
5430402043440
634240214320
75414502030
oct1536720650
9522573413
10226206120
11106762008
126390a3a0
1337b3149a
14220848c0
1514cd4080
hexd7ba1a8

226206120 has 128 divisors (see below), whose sum is σ = 790352640. Its totient is φ = 50718720.

The previous prime is 226206107. The next prime is 226206179. The reversal of 226206120 is 21602622.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41980 + ... + 47060.

It is an arithmetic number, because the mean of its divisors is an integer number (6174630).

Almost surely, 2226206120 is an apocalyptic number.

226206120 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 226206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395176320).

226206120 is an abundant number, since it is smaller than the sum of its proper divisors (564146520).

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

226206120 is a wasteful number, since it uses less digits than its factorization.

226206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 226206120 is about 15040.1502652068. The cubic root of 226206120 is about 609.3050582712.

Adding to 226206120 its reverse (21602622), we get a palindrome (247808742).

The spelling of 226206120 in words is "two hundred twenty-six million, two hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5081 5565 6360 7420 8904 10162 11130 14840 15243 20324 22260 25405 30486 35567 40648 44520 50810 60972 71134 76215 101620 106701 121944 142268 152430 177835 203240 213402 269293 284536 304860 355670 426804 533505 538586 609720 711340 807879 853608 1067010 1077172 1346465 1422680 1615758 1885051 2134020 2154344 2692930 3231516 3770102 4039395 4268040 5385860 5655153 6463032 7540204 8078790 9425255 10771720 11310306 15080408 16157580 18850510 22620612 28275765 32315160 37701020 45241224 56551530 75402040 113103060 226206120