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30265560900 = 22345219332
BaseRepresentation
bin11100001011111101…
…111100111101000100
32220010020222210110000
4130023331330331010
5443440440422100
621523120001300
72121003010611
oct341375747504
986106883400
1030265560900
1111921135953
125a47a60230
132b143c5523
141671815508
15bc20d3900
hex70bf7cf44

30265560900 has 135 divisors (see below), whose sum is σ = 98159772711. Its totient is φ = 8066640960.

The previous prime is 30265560877. The next prime is 30265560901. The reversal of 30265560900 is 906556203.

The square root of 30265560900 is 173970.

It is a perfect power (a square), and thus also a powerful number.

30265560900 is a `hidden beast` number, since 3 + 0 + 2 + 6 + 5 + 560 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56340036 + 30209220864 = 7506^2 + 173808^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30265560901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15656334 + ... + 15658266.

Almost surely, 230265560900 is an apocalyptic number.

30265560900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30265560900 is the 173970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30265560900

30265560900 is an abundant number, since it is smaller than the sum of its proper divisors (67894211811).

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

30265560900 is an equidigital number, since it uses as much as digits as its factorization.

30265560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 30265560900 by its sum of digits (36), we get a square (1089560192400 = 10438202).

30265560900 divided by its sum of digits (36) gives a square (840710025 = 289952).

The spelling of 30265560900 in words is "thirty billion, two hundred sixty-five million, five hundred sixty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 1933 2025 2700 3866 4050 5799 7732 8100 9665 11598 17397 19330 23196 28995 34794 38660 48325 52191 57990 69588 86985 96650 104382 115980 144975 156573 173970 193300 208764 260955 289950 313146 347940 434925 521910 579900 626292 782865 869850 1043820 1304775 1565730 1739700 2609550 3131460 3736489 3914325 5219100 7472978 7828650 11209467 14945956 15657300 18682445 22418934 33628401 37364890 44837868 56047335 67256802 74729780 93412225 100885203 112094670 134513604 168142005 186824450 201770406 224189340 280236675 302655609 336284010 373648900 403540812 504426015 560473350 605311218 672568020 840710025 1008852030 1120946700 1210622436 1513278045 1681420050 2017704060 2522130075 3026556090 3362840100 5044260150 6053112180 7566390225 10088520300 15132780450 30265560900