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226061537660 = 225719128329873
BaseRepresentation
bin1101001010001001010…
…0010101000101111100
3210121111121122222012222
43102202110111011330
512200433223201120
6251503511144512
722222005236240
oct3224224250574
9717447588188
10226061537660
1187965932182
123798b675138
131841875a68a
14ad27434420
155d31431525
hex34a251517c

226061537660 has 96 divisors (see below), whose sum is σ = 547333742592. Its totient is φ = 76826004480.

The previous prime is 226061537659. The next prime is 226061537671. The reversal of 226061537660 is 66735160622.

It is a happy number.

It is a super-2 number, since 2×2260615376602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7552484 + ... + 7582356.

It is an arithmetic number, because the mean of its divisors is an integer number (5701393152).

Almost surely, 2226061537660 is an apocalyptic number.

226061537660 is a gapful number since it is divisible by the number (20) 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 226061537660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273666871296).

226061537660 is an abundant number, since it is smaller than the sum of its proper divisors (321272204932).

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

226061537660 is a wasteful number, since it uses less digits than its factorization.

226061537660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30363 (or 30361 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 226061537660 in words is "two hundred twenty-six billion, sixty-one million, five hundred thirty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 283 382 566 764 955 1132 1337 1415 1910 1981 2674 2830 3820 3962 5348 5660 6685 7924 9905 13370 19810 26740 29873 39620 54053 59746 108106 119492 149365 209111 216212 270265 298730 378371 418222 540530 597460 756742 836444 1045555 1081060 1513484 1891855 2091110 3783710 4182220 5705743 7567420 8454059 11411486 16908118 22822972 28528715 33816236 39940201 42270295 57057430 59178413 79880402 84540590 114114860 118356826 159760804 169081180 199701005 236713652 295892065 399402010 591784130 798804020 1183568260 1614725269 3229450538 6458901076 8073626345 11303076883 16147252690 22606153766 32294505380 45212307532 56515384415 113030768830 226061537660