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226198080 = 2632578541
BaseRepresentation
bin11010111101110…
…00001001000000
3120202122001102200
431132320021000
5430401314310
634240113200
75414436423
oct1536701100
9522561380
10226198080
11106756a69
1263905800
1337b2a924
14220819ba
1514cd19c0
hexd7b8240

226198080 has 84 divisors (see below), whose sum is σ = 778037052. Its totient is φ = 60318720.

The previous prime is 226198069. The next prime is 226198087. The reversal of 226198080 is 80891622.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 84492864 = 11904^2 + 9192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226198087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36391 + ... + 42150.

Almost surely, 2226198080 is an apocalyptic number.

226198080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226198080 is an abundant number, since it is smaller than the sum of its proper divisors (551838972).

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

226198080 is a wasteful number, since it uses less digits than its factorization.

226198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78564 (or 78551 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 226198080 is about 15039.8829782681. The cubic root of 226198080 is about 609.2978393820.

The spelling of 226198080 in words is "two hundred twenty-six million, one hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 78541 157082 235623 314164 392705 471246 628328 706869 785410 942492 1178115 1256656 1413738 1570820 1884984 2356230 2513312 2827476 3141640 3534345 3769968 4712460 5026624 5654952 6283280 7068690 7539936 9424920 11309904 12566560 14137380 15079872 18849840 22619808 25133120 28274760 37699680 45239616 56549520 75399360 113099040 226198080