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33230210000 = 245413255617
BaseRepresentation
bin11110111100101011…
…001100001111010000
310011202212111120110112
4132330223030033100
51021023413210000
623133222420452
72254322060501
oct367453141720
9104685446415
1033230210000
1113102650679
126534891728
133197680370
141873458ba8
15ce74e3235
hex7bcacc3d0

33230210000 has 100 divisors (see below), whose sum is σ = 86642743572. Its totient is φ = 12269568000.

The previous prime is 33230209973. The next prime is 33230210003. The reversal of 33230210000 is 1203233.

It can be written as a sum of positive squares in 10 ways, for example, as 33006168976 + 224041024 = 181676^2 + 14968^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×332302100004 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33230210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2192 + ... + 257808.

Almost surely, 233230210000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43321371786).

33230210000 is an abundant number, since it is smaller than the sum of its proper divisors (53412533572).

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

33230210000 is a wasteful number, since it uses less digits than its factorization.

33230210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255658 (or 255637 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 33230210000 its reverse (1203233), we get a palindrome (33231413233).

The spelling of 33230210000 in words is "thirty-three billion, two hundred thirty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 255617 511234 1022468 1278085 2044936 2556170 3323021 4089872 5112340 6390425 6646042 10224680 12780850 13292084 16615105 20449360 25561700 26584168 31952125 33230210 51123400 53168336 63904250 66460420 83075525 102246800 127808500 132920840 159760625 166151050 255617000 265841680 319521250 332302100 415377625 511234000 639042500 664604200 830755250 1278085000 1329208400 1661510500 2076888125 2556170000 3323021000 4153776250 6646042000 8307552500 16615105000 33230210000