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1425221520 = 2435172711289
BaseRepresentation
bin101010011110011…
…0010011110010000
310200022210202101020
41110330302132100
510404324042040
6353231235440
750214116532
oct12474623620
93608722336
101425221520
11671556028
12339378b80
1319936c758
14d73d9852
15851c7cd0
hex54f32790

1425221520 has 160 divisors (see below), whose sum is σ = 4698984960. Its totient is φ = 356106240.

The previous prime is 1425221509. The next prime is 1425221531. The reversal of 1425221520 is 251225241.

It is an interprime number because it is at equal distance from previous prime (1425221509) and next prime (1425221531).

It is a super-2 number, since 2×14252215202 = 4062512762142220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105036 + ... + 1106324.

It is an arithmetic number, because the mean of its divisors is an integer number (29368656).

Almost surely, 21425221520 is an apocalyptic number.

1425221520 is a gapful number since it is divisible by the number (10) 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 1425221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349492480).

1425221520 is an abundant number, since it is smaller than the sum of its proper divisors (3273763440).

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

1425221520 is a wasteful number, since it uses less digits than its factorization.

1425221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1425221520 is about 37752.1061664114. The cubic root of 1425221520 is about 1125.3668650428.

Adding to 1425221520 its reverse (251225241), we get a palindrome (1676446761).

The spelling of 1425221520 in words is "one billion, four hundred twenty-five million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 271 272 340 408 510 542 680 813 816 1020 1084 1289 1355 1360 1626 2040 2168 2578 2710 3252 3867 4065 4080 4336 4607 5156 5420 6445 6504 7734 8130 9214 10312 10840 12890 13008 13821 15468 16260 18428 19335 20624 21680 21913 23035 25780 27642 30936 32520 36856 38670 43826 46070 51560 55284 61872 65040 65739 69105 73712 77340 87652 92140 103120 109565 110568 131478 138210 154680 175304 184280 219130 221136 262956 276420 309360 328695 349319 350608 368560 438260 525912 552840 657390 698638 876520 1047957 1051824 1105680 1314780 1397276 1746595 1753040 2095914 2629560 2794552 3493190 4191828 5239785 5259120 5589104 5938423 6986380 8383656 10479570 11876846 13972760 16767312 17815269 20959140 23753692 27945520 29692115 35630538 41918280 47507384 59384230 71261076 83836560 89076345 95014768 118768460 142522152 178152690 237536920 285044304 356305380 475073840 712610760 1425221520