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226036741800 = 233523112152513
BaseRepresentation
bin1101001010000011010…
…1101111011010101000
3210121102220000012200210
43102200311233122220
512200410401214200
6251501223501120
722221254414142
oct3224065573250
9717386005623
10226036741800
1187952936731
12379832b77a0
131841358837c
14ad2401bc92
155d2e184650
hex34a0d6f6a8

226036741800 has 96 divisors (see below), whose sum is σ = 723317633280. Its totient is φ = 58332057600.

The previous prime is 226036741757. The next prime is 226036741817. The reversal of 226036741800 is 8147630622.

It is a happy number.

226036741800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6057657 + ... + 6094856.

It is an arithmetic number, because the mean of its divisors is an integer number (7534558680).

Almost surely, 2226036741800 is an apocalyptic number.

226036741800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226036741800 is an abundant number, since it is smaller than the sum of its proper divisors (497280891480).

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

226036741800 is a wasteful number, since it uses less digits than its factorization.

226036741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152563 (or 12152554 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 226036741800 in words is "two hundred twenty-six billion, thirty-six million, seven hundred forty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 12152513 24305026 36457539 48610052 60762565 72915078 97220104 121525130 145830156 182287695 243050260 291660312 303812825 364575390 376727903 486100520 607625650 729150780 753455806 911438475 1130183709 1215251300 1458301560 1506911612 1822876950 1883639515 2260367418 2430502600 3013823224 3645753900 3767279030 4520734836 5650918545 7291507800 7534558060 9041469672 9418197575 11301837090 15069116120 18836395150 22603674180 28254592725 37672790300 45207348360 56509185450 75345580600 113018370900 226036741800