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2221420520 = 2351129317231
BaseRepresentation
bin1000010001101000…
…0010111111101000
312201210222212002002
42010122002333220
514022140424040
61004232430132
7106022522444
oct20432027750
95653885062
102221420520
11a3aa30130
1251bb48348
132952c1517
14171055824
15d004da15
hex84682fe8

2221420520 has 64 divisors (see below), whose sum is σ = 5471504640. Its totient is φ = 804985600.

The previous prime is 2221420519. The next prime is 2221420547. The reversal of 2221420520 is 250241222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2221420492 and 2221420501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120305 + ... + 137535.

It is an arithmetic number, because the mean of its divisors is an integer number (85492260).

Almost surely, 22221420520 is an apocalyptic number.

2221420520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735752320).

2221420520 is an abundant number, since it is smaller than the sum of its proper divisors (3250084120).

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

2221420520 is a wasteful number, since it uses less digits than its factorization.

2221420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17546 (or 17542 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2221420520 is about 47131.9479758688. The cubic root of 2221420520 is about 1304.7989336100.

Adding to 2221420520 its reverse (250241222), we get a palindrome (2471661742).

The spelling of 2221420520 in words is "two billion, two hundred twenty-one million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 293 440 586 1172 1465 2344 2930 3223 5860 6446 11720 12892 16115 17231 25784 32230 34462 64460 68924 86155 128920 137848 172310 189541 344620 379082 689240 758164 947705 1516328 1895410 3790820 5048683 7581640 10097366 20194732 25243415 40389464 50486830 55535513 100973660 111071026 201947320 222142052 277677565 444284104 555355130 1110710260 2221420520