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1434122200 = 235272612399
BaseRepresentation
bin101010101111010…
…1111011111011000
310200221112221211001
41111132233133120
510414113402300
6354150114344
750352560200
oct12536573730
93627487731
101434122200
11676585265
1234034b9b4
1319b167b24
14d8675400
1585d8516a
hex557af7d8

1434122200 has 144 divisors (see below), whose sum is σ = 3943944000. Its totient is φ = 483436800.

The previous prime is 1434122167. The next prime is 1434122201. The reversal of 1434122200 is 22214341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434122201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596601 + ... + 598999.

It is an arithmetic number, because the mean of its divisors is an integer number (27388500).

Almost surely, 21434122200 is an apocalyptic number.

1434122200 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 1434122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971972000).

1434122200 is an abundant number, since it is smaller than the sum of its proper divisors (2509821800).

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

1434122200 is a wasteful number, since it uses less digits than its factorization.

1434122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1434122200 is about 37869.8059144749. The cubic root of 1434122200 is about 1127.7046889702.

Adding to 1434122200 its reverse (22214341), we get a palindrome (1456336541).

The spelling of 1434122200 in words is "one billion, four hundred thirty-four million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 61 70 98 100 122 140 175 196 200 244 245 280 305 350 392 427 488 490 610 700 854 980 1220 1225 1400 1525 1708 1960 2135 2399 2440 2450 2989 3050 3416 4270 4798 4900 5978 6100 8540 9596 9800 10675 11956 11995 12200 14945 16793 17080 19192 21350 23912 23990 29890 33586 42700 47980 59780 59975 67172 74725 83965 85400 95960 117551 119560 119950 134344 146339 149450 167930 235102 239900 292678 298900 335860 419825 470204 479800 585356 587755 597800 671720 731695 839650 940408 1024373 1170712 1175510 1463390 1679300 2048746 2351020 2926780 2938775 3358600 3658475 4097492 4702040 5121865 5853560 5877550 7170611 7316950 8194984 10243730 11755100 14341222 14633900 20487460 23510200 25609325 28682444 29267800 35853055 40974920 51218650 57364888 71706110 102437300 143412220 179265275 204874600 286824440 358530550 717061100 1434122200