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2351432020 = 2257195914983
BaseRepresentation
bin1000110000101000…
…0000000101010100
320001212122010022211
42030022000011110
514303431311040
61025155203204
7112161561640
oct21412000524
96055563284
102351432020
11aa735a753
125575a6504
132b62122c2
14184419c20
15db6808ea
hex8c280154

2351432020 has 96 divisors (see below), whose sum is σ = 6041548800. Its totient is φ = 750777984.

The previous prime is 2351431987. The next prime is 2351432023. The reversal of 2351432020 is 202341532.

It is a junction number, because it is equal to n+sod(n) for n = 2351431982 and 2351432000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2351432023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149449 + ... + 164431.

It is an arithmetic number, because the mean of its divisors is an integer number (62932800).

Almost surely, 22351432020 is an apocalyptic number.

2351432020 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 2351432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020774400).

2351432020 is an abundant number, since it is smaller than the sum of its proper divisors (3690116780).

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

2351432020 is a wasteful number, since it uses less digits than its factorization.

2351432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15077 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2351432020 is about 48491.5664832556. The cubic root of 2351432020 is about 1329.7728935531.

Adding to 2351432020 its reverse (202341532), we get a palindrome (2553773552).

The spelling of 2351432020 in words is "two billion, three hundred fifty-one million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 59 70 76 95 118 133 140 190 236 266 295 380 413 532 590 665 826 1121 1180 1330 1652 2065 2242 2660 4130 4484 5605 7847 8260 11210 14983 15694 22420 29966 31388 39235 59932 74915 78470 104881 149830 156940 209762 284677 299660 419524 524405 569354 883997 1048810 1138708 1423385 1767994 1992739 2097620 2846770 3535988 3985478 4419985 5693540 6187979 7970956 8839970 9963695 12375958 16795943 17679940 19927390 24751916 30939895 33591886 39854780 61879790 67183772 83979715 117571601 123759580 167959430 235143202 335918860 470286404 587858005 1175716010 2351432020