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226331640 = 23325628699
BaseRepresentation
bin11010111110110…
…00101111111000
3120202212211122100
431133120233320
5430420103030
634243023400
75415534003
oct1537305770
9522784570
10226331640
11106838347
126396ab60
1337b76662
14220b853a
1514d0b360
hexd7d8bf8

226331640 has 48 divisors (see below), whose sum is σ = 735579000. Its totient is φ = 60355008.

The previous prime is 226331639. The next prime is 226331647. The reversal of 226331640 is 46133622.

226331640 is a `hidden beast` number, since 22 + 633 + 1 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×2263316402 = 102452022530179200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226331647) 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, 313990 + ... + 314709.

Almost surely, 2226331640 is an apocalyptic number.

226331640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226331640 is an abundant number, since it is smaller than the sum of its proper divisors (509247360).

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

226331640 is a wasteful number, since it uses less digits than its factorization.

226331640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628716 (or 628709 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 226331640 is about 15044.3225171491. The cubic root of 226331640 is about 609.4177369632.

The spelling of 226331640 in words is "two hundred twenty-six million, three hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 628699 1257398 1886097 2514796 3143495 3772194 5029592 5658291 6286990 7544388 9430485 11316582 12573980 15088776 18860970 22633164 25147960 28291455 37721940 45266328 56582910 75443880 113165820 226331640