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2265230302542 = 2321779311301303
BaseRepresentation
bin100000111101101010001…
…111110101110101001110
322000112221210110020110200
4200331222033311311032
5244103142424140132
64452344334514330
7322441342610154
oct40755217656516
98015853406420
102265230302542
117a37514a6829
123070250659a6
131357c1aa61ac
147b8cdd153d4
153ddcce4dd7c
hex20f6a3f5d4e

2265230302542 has 96 divisors (see below), whose sum is σ = 5279424583680. Its totient is φ = 699406306560.

The previous prime is 2265230302541. The next prime is 2265230302571. The reversal of 2265230302542 is 2452030325622.

2265230302542 is a `hidden beast` number, since 2 + 2 + 6 + 52 + 30 + 30 + 2 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2265230302497 and 2265230302506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265230302541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7367463 + ... + 7668765.

It is an arithmetic number, because the mean of its divisors is an integer number (54994006080).

Almost surely, 22265230302542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265230302542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639712291840).

2265230302542 is an abundant number, since it is smaller than the sum of its proper divisors (3014194281138).

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

2265230302542 is a wasteful number, since it uses less digits than its factorization.

2265230302542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301718 (or 301715 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 2265230302542 in words is "two trillion, two hundred sixty-five billion, two hundred thirty million, three hundred two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 237 306 311 474 622 711 933 1343 1422 1866 2686 2799 4029 5287 5598 8058 10574 12087 15861 24174 24569 31722 47583 49138 73707 95166 147414 221121 301303 417673 442242 602606 835346 903909 1253019 1807818 2506038 2711727 3759057 5122151 5423454 7518114 10244302 15366453 23802937 30732906 46099359 47605874 71408811 92198718 93705233 142817622 187410466 214226433 281115699 404649929 428452866 562231398 809299858 843347097 1213949787 1592988961 1686694194 2427899574 3185977922 3641849361 4778966883 7283698722 7402713407 9557933766 14336900649 14805426814 22208140221 28673801298 44416280442 66624420663 125846127919 133248841326 251692255838 377538383757 755076767514 1132615151271 2265230302542