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221223131300 = 2252191071088161
BaseRepresentation
bin1100111000000111101…
…1010001100010100100
3210011000102100110110102
43032001323101202210
512111031110200200
6245343431243232
721661054406243
oct3160173214244
9704012313412
10221223131300
1185902765936
1236a5b219518
1317b27229a32
14a9c89d895a
155b4b7996d5
hex3381ed18a4

221223131300 has 72 divisors (see below), whose sum is σ = 510043292640. Its totient is φ = 83048371200.

The previous prime is 221223131293. The next prime is 221223131309. The reversal of 221223131300 is 3131322122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (221223131309) 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 23 ways as a sum of consecutive naturals, for example, 340781 + ... + 747380.

It is an arithmetic number, because the mean of its divisors is an integer number (7083934620).

Almost surely, 2221223131300 is an apocalyptic number.

221223131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221223131300 is an abundant number, since it is smaller than the sum of its proper divisors (288820161340).

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

221223131300 is a wasteful number, since it uses less digits than its factorization.

221223131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088301 (or 1088294 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 221223131300 its reverse (3131322122), we get a palindrome (224354453422).

The spelling of 221223131300 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 107 190 214 380 428 475 535 950 1070 1900 2033 2140 2675 4066 5350 8132 10165 10700 20330 40660 50825 101650 203300 1088161 2176322 4352644 5440805 10881610 20675059 21763220 27204025 41350118 54408050 82700236 103375295 108816100 116433227 206750590 232866454 413501180 465732908 516876475 582166135 1033752950 1164332270 2067505900 2212231313 2328664540 2910830675 4424462626 5821661350 8848925252 11061156565 11643322700 22122313130 44244626260 55305782825 110611565650 221223131300