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434200230200 = 235211712779771
BaseRepresentation
bin1100101000110000101…
…10011011100100111000
31112111202011100002000102
412110120112123210320
524103220224331300
6531245133454532
743240613026652
oct6243026334470
91474664302012
10434200230200
1115816378a560
1270198941448
1331c38c5cb49
14170303a36d2
15b46414a0d5
hex651859b938

434200230200 has 96 divisors (see below), whose sum is σ = 1116801198720. Its totient is φ = 155667120000.

The previous prime is 434200230193. The next prime is 434200230203. The reversal of 434200230200 is 2032002434.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434200230203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233686 + ... + 1546085.

It is an arithmetic number, because the mean of its divisors is an integer number (11633345820).

Almost surely, 2434200230200 is an apocalyptic number.

434200230200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434200230200 is an abundant number, since it is smaller than the sum of its proper divisors (682600968520).

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

434200230200 is a wasteful number, since it uses less digits than its factorization.

434200230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779869 (or 2779860 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 434200230200 its reverse (2032002434), we get a palindrome (436232232634).

The spelling of 434200230200 in words is "four hundred thirty-four billion, two hundred million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 142 200 220 275 284 355 440 550 568 710 781 1100 1420 1562 1775 2200 2840 3124 3550 3905 6248 7100 7810 14200 15620 19525 31240 39050 78100 156200 2779771 5559542 11119084 13898855 22238168 27797710 30577481 55595420 61154962 69494275 111190840 122309924 138988550 152887405 197363741 244619848 277977100 305774810 394727482 555954200 611549620 764437025 789454964 986818705 1223099240 1528874050 1578909928 1973637410 2171001151 3057748100 3947274820 4342002302 4934093525 6115496200 7894549640 8684004604 9868187050 10855005755 17368009208 19736374100 21710011510 39472748200 43420023020 54275028775 86840046040 108550057550 217100115100 434200230200