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1430221520 = 245713196459
BaseRepresentation
bin101010100111111…
…0111001011010000
310200200012210002102
41111033313023100
510412114042040
6353530335532
750304453020
oct12517671320
93620183072
101430221520
11674360662
1233ab8a5a8
1319a400530
14d7d3ba80
1585864515
hex553f72d0

1430221520 has 80 divisors (see below), whose sum is σ = 4092654720. Its totient is φ = 452639232.

The previous prime is 1430221517. The next prime is 1430221531. The reversal of 1430221520 is 251220341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14302215202 = 4091067192542220800, which contains 22 as substring.

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 = 1430221492 and 1430221501.

It is a congruent number.

It is an unprimeable number.

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, 90950 + ... + 105509.

It is an arithmetic number, because the mean of its divisors is an integer number (51158184).

Almost surely, 21430221520 is an apocalyptic number.

1430221520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430221520 is an abundant number, since it is smaller than the sum of its proper divisors (2662433200).

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

1430221520 is a wasteful number, since it uses less digits than its factorization.

1430221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196492 (or 196486 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1430221520 is about 37818.2696589889. The cubic root of 1430221520 is about 1126.6813430547.

Adding to 1430221520 its reverse (251220341), we get a palindrome (1681441861).

The spelling of 1430221520 in words is "one billion, four hundred thirty million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 196459 392918 785836 982295 1375213 1571672 1964590 2553967 2750426 3143344 3929180 5107934 5500852 6876065 7858360 10215868 11001704 12769835 13752130 15716720 17877769 20431736 22003408 25539670 27504260 35755538 40863472 51079340 55008520 71511076 89388845 102158680 110017040 143022152 178777690 204317360 286044304 357555380 715110760 1430221520