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226361100 = 223527107791
BaseRepresentation
bin11010111110111…
…11111100001100
3120202221100001110
431133133330030
5430422023400
634243412020
75416015620
oct1537377414
9522840043
10226361100
11106858499
1263984010
1337b86ba4
14220c5180
1514d14e50
hexd7dff0c

226361100 has 72 divisors (see below), whose sum is σ = 748507648. Its totient is φ = 51739200.

The previous prime is 226361081. The next prime is 226361119. The reversal of 226361100 is 1163622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226361081) and next prime (226361119).

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

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, 51796 + ... + 55995.

Almost surely, 2226361100 is an apocalyptic number.

226361100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226361100 is an abundant number, since it is smaller than the sum of its proper divisors (522146548).

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

226361100 is a wasteful number, since it uses less digits than its factorization.

226361100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107815 (or 107808 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 226361100 is about 15045.3015921915. The cubic root of 226361100 is about 609.4441770250. Note that the first 3 decimals are identical.

The spelling of 226361100 in words is "two hundred twenty-six million, three hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 107791 215582 323373 431164 538955 646746 754537 1077910 1293492 1509074 1616865 2155820 2263611 2694775 3018148 3233730 3772685 4527222 5389550 6467460 7545370 8084325 9054444 10779100 11318055 15090740 16168650 18863425 22636110 32337300 37726850 45272220 56590275 75453700 113180550 226361100