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226828944 = 24332337617
BaseRepresentation
bin11011000010100…
…10001010010000
3120210211002211000
431201102022100
5431032011234
634301422000
75423004606
oct1541221220
9523732730
10226828944
11107047a41
1263b6a900
1337cbbb14
14221a7876
1514da8899
hexd852290

226828944 has 160 divisors (see below), whose sum is σ = 698883840. Its totient is φ = 70253568.

The previous prime is 226828939. The next prime is 226828949. The reversal of 226828944 is 449828622.

It is an interprime number because it is at equal distance from previous prime (226828939) and next prime (226828949).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 226828944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226828949) 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, 367324 + ... + 367940.

It is an arithmetic number, because the mean of its divisors is an integer number (4368024).

Almost surely, 2226828944 is an apocalyptic number.

226828944 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 226828944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349441920).

226828944 is an abundant number, since it is smaller than the sum of its proper divisors (472054896).

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

226828944 is a wasteful number, since it uses less digits than its factorization.

226828944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 226828944 is about 15060.8414107579. The cubic root of 226828944 is about 609.8637552924.

It can be divided in two parts, 22682 and 8944, that added together give a triangular number (31626 = T251).

The spelling of 226828944 in words is "two hundred twenty-six million, eight hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 37 46 48 54 69 72 74 92 108 111 138 144 148 184 207 216 222 276 296 333 368 414 432 444 552 592 617 621 666 828 851 888 999 1104 1234 1242 1332 1656 1702 1776 1851 1998 2468 2484 2553 2664 3312 3404 3702 3996 4936 4968 5106 5328 5553 6808 7404 7659 7992 9872 9936 10212 11106 13616 14191 14808 15318 15984 16659 20424 22212 22829 22977 28382 29616 30636 33318 40848 42573 44424 45658 45954 56764 61272 66636 68487 85146 88848 91316 91908 113528 122544 127719 133272 136974 170292 182632 183816 205461 227056 255438 266544 273948 340584 365264 367632 383157 410922 510876 525067 547896 616383 681168 766314 821844 1021752 1050134 1095792 1232766 1532628 1575201 1643688 2043504 2100268 2465532 3065256 3150402 3287376 4200536 4725603 4931064 6130512 6300804 8401072 9451206 9862128 12601608 14176809 18902412 25203216 28353618 37804824 56707236 75609648 113414472 226828944