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233013232220 = 225831271105271
BaseRepresentation
bin1101100100000010101…
…0111100001001011100
3211021110002111122101212
43121000222330021130
512304202341412340
6255013402123552
722556166536306
oct3310052741134
9737402448355
10233013232220
118a90299319a
12391ab7b05b8
1318c85a4c602
14b3c67b8976
1560db8a7a65
hex3640abc25c

233013232220 has 48 divisors (see below), whose sum is σ = 499123150848. Its totient is φ = 91357197120.

The previous prime is 233013232217. The next prime is 233013232229. The reversal of 233013232220 is 22232310332.

It is a super-2 number, since 2×2330132322202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233013232229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 341816 + ... + 763455.

It is an arithmetic number, because the mean of its divisors is an integer number (10398398976).

Almost surely, 2233013232220 is an apocalyptic number.

233013232220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233013232220 is an abundant number, since it is smaller than the sum of its proper divisors (266109918628).

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

233013232220 is a wasteful number, since it uses less digits than its factorization.

233013232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105490 (or 1105488 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 233013232220 its reverse (22232310332), we get a palindrome (255245542552).

The spelling of 233013232220 in words is "two hundred thirty-three billion, thirteen million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 83 127 166 254 332 415 508 635 830 1270 1660 2540 10541 21082 42164 52705 105410 210820 1105271 2210542 4421084 5526355 11052710 22105420 91737493 140369417 183474986 280738834 366949972 458687465 561477668 701847085 917374930 1403694170 1834749860 2807388340 11650661611 23301323222 46602646444 58253308055 116506616110 233013232220