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226362215552 = 2711238232
BaseRepresentation
bin1101001011010000111…
…1010100110010000000
3210122021120102222202012
43102310033110302000
512202042211344202
6251553411512052
722232316041204
oct3226417246200
9718246388665
10226362215552
1187aaa629a00
1237a542b8628
1318465b34ba5
14ad55342b04
155d4ca26152
hex34b43d4c80

226362215552 has 72 divisors (see below), whose sum is σ = 495808573995. Its totient is φ = 102865002240.

The previous prime is 226362215551. The next prime is 226362215617. The reversal of 226362215552 is 255512263622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 113181107776 + 113181107776 = 336424^2 + 336424^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336424.

It is a super-2 number, since 2×2263622155522 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226362215551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59208713 + ... + 59212535.

Almost surely, 2226362215552 is an apocalyptic number.

226362215552 is a gapful number since it is divisible by the number (22) 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 226362215552

226362215552 is an abundant number, since it is smaller than the sum of its proper divisors (269446358443).

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

226362215552 is an frugal number, since it uses more digits than its factorization.

226362215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 3836 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The spelling of 226362215552 in words is "two hundred twenty-six billion, three hundred sixty-two million, two hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3823 3872 7646 7744 15292 15488 30584 42053 61168 84106 122336 168212 244672 336424 462583 489344 672848 925166 1345696 1850332 2691392 3700664 5382784 7401328 14615329 14802656 29230658 29605312 58461316 59210624 116922632 160768619 233845264 321537238 467690528 643074476 935381056 1286148952 1768454809 1870762112 2572297904 3536909618 5144595808 7073819236 10289191616 14147638472 20578383232 28295276944 56590553888 113181107776 226362215552