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226099120 = 24513317013
BaseRepresentation
bin11010111100111…
…11111110110000
3120202110000200111
431132133332300
5430340132440
634234031104
75413545052
oct1536377660
9522400614
10226099120
11106699685
1263878494
1337ac4880
14220578d2
1514cb24ea
hexd79ffb0

226099120 has 80 divisors (see below), whose sum is σ = 584462592. Its totient is φ = 80778240.

The previous prime is 226099103. The next prime is 226099121. The reversal of 226099120 is 21990622.

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

It is a super-2 number, since 2×2260991202 = 102241624129548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (226099121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28734 + ... + 35746.

Almost surely, 2226099120 is an apocalyptic number.

226099120 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 226099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292231296).

226099120 is an abundant number, since it is smaller than the sum of its proper divisors (358363472).

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

226099120 is a wasteful number, since it uses less digits than its factorization.

226099120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 226099120 is about 15036.5926991456. The cubic root of 226099120 is about 609.2089719767.

The spelling of 226099120 in words is "two hundred twenty-six million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 7013 8060 14026 16120 28052 32240 35065 56104 70130 91169 112208 140260 182338 217403 280520 364676 434806 455845 561040 729352 869612 911690 1087015 1458704 1739224 1823380 2174030 2826239 3478448 3646760 4348060 5652478 7293520 8696120 11304956 14131195 17392240 22609912 28262390 45219824 56524780 113049560 226099120