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1429925220 = 22325311092351
BaseRepresentation
bin101010100111010…
…1110110101100100
310200122122201122100
41111032232311210
510412030101340
6353520132100
750302110123
oct12516566544
93618581570
101429925220
11674178a89
1233aa67030
1319a3286c9
14d7ca1aba
1585806830
hex553aed64

1429925220 has 144 divisors (see below), whose sum is σ = 4520355840. Its totient is φ = 365472000.

The previous prime is 1429925191. The next prime is 1429925221. The reversal of 1429925220 is 225299241.

1429925220 is a `hidden beast` number, since 1 + 42 + 9 + 92 + 522 + 0 = 666.

It is a super-2 number, since 2×14299252202 = 4089372269584096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1429925221) 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 47 ways as a sum of consecutive naturals, for example, 607045 + ... + 609395.

It is an arithmetic number, because the mean of its divisors is an integer number (31391360).

Almost surely, 21429925220 is an apocalyptic number.

1429925220 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 1429925220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260177920).

1429925220 is an abundant number, since it is smaller than the sum of its proper divisors (3090430620).

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

1429925220 is a wasteful number, since it uses less digits than its factorization.

1429925220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1429925220 is about 37814.3520372887. The cubic root of 1429925220 is about 1126.6035325585.

The spelling of 1429925220 in words is "one billion, four hundred twenty-nine million, nine hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 109 124 155 180 186 218 279 310 327 372 436 465 545 558 620 654 930 981 1090 1116 1308 1395 1635 1860 1962 2180 2351 2790 3270 3379 3924 4702 4905 5580 6540 6758 7053 9404 9810 10137 11755 13516 14106 16895 19620 20274 21159 23510 28212 30411 33790 35265 40548 42318 47020 50685 60822 67580 70530 72881 84636 101370 105795 121644 141060 145762 152055 202740 211590 218643 256259 291524 304110 364405 423180 437286 512518 608220 655929 728810 768777 874572 1025036 1093215 1281295 1311858 1457620 1537554 2186430 2306331 2562590 2623716 3075108 3279645 3843885 4372860 4612662 5125180 6559290 7687770 7944029 9225324 11531655 13118580 15375540 15888058 23063310 23832087 31776116 39720145 46126620 47664174 71496261 79440290 95328348 119160435 142992522 158880580 238320870 285985044 357481305 476641740 714962610 1429925220