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33230022100 = 22521143369767
BaseRepresentation
bin11110111100101010…
…011110010111010100
310011202212011000201021
4132330222132113110
51021023341201400
623133214410524
72254320345622
oct367452362724
9104685130637
1033230022100
1113102532490
126534800a44
133197615992
14187340a512
15ce74a771a
hex7bca9e5d4

33230022100 has 72 divisors (see below), whose sum is σ = 78847328448. Its totient is φ = 12055564800.

The previous prime is 33230022053. The next prime is 33230022103. The reversal of 33230022100 is 122003233.

It is a super-2 number, since 2×332300221002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33230022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441417 + ... + 511183.

It is an arithmetic number, because the mean of its divisors is an integer number (1095101784).

Almost surely, 233230022100 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 33230022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39423664224).

33230022100 is an abundant number, since it is smaller than the sum of its proper divisors (45617306348).

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

33230022100 is a wasteful number, since it uses less digits than its factorization.

33230022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70225 (or 70218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33230022100 its reverse (122003233), we get a palindrome (33352025333).

The spelling of 33230022100 in words is "thirty-three billion, two hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 433 550 866 1100 1732 2165 4330 4763 8660 9526 10825 19052 21650 23815 43300 47630 69767 95260 119075 139534 238150 279068 348835 476300 697670 767437 1395340 1534874 1744175 3069748 3488350 3837185 6976700 7674370 15348740 19185925 30209111 38371850 60418222 76743700 120836444 151045555 302091110 332300221 604182220 664600442 755227775 1329200884 1510455550 1661501105 3020911100 3323002210 6646004420 8307505525 16615011050 33230022100