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4023212223400 = 2352411889259733
BaseRepresentation
bin111010100010111010001…
…000101010101110101000
3112020121121120120211021221
4322202322020222232220
51011404014312122100
612320123240311424
7563444643436606
oct72427210525650
915217546524257
104023212223400
111311264462677
1254b885772574
13232505b31776
14dca200b2876
156e9bdc3b01a
hex3a8ba22aba8

4023212223400 has 96 divisors (see below), whose sum is σ = 9587223487800. Its totient is φ = 1569196851200.

The previous prime is 4023212223397. The next prime is 4023212223413. The reversal of 4023212223400 is 43222123204.

It can be written as a sum of positive squares in 12 ways, for example, as 144526187556 + 3878686035844 = 380166^2 + 1969438^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15359934 + ... + 15619666.

Almost surely, 24023212223400 is an apocalyptic number.

4023212223400 is a gapful number since it is divisible by the number (40) 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 4023212223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793611743900).

4023212223400 is an abundant number, since it is smaller than the sum of its proper divisors (5564011264400).

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

4023212223400 is a wasteful number, since it uses less digits than its factorization.

4023212223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261679 (or 261670 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4023212223400 its reverse (43222123204), we get a palindrome (4066434346604).

The spelling of 4023212223400 in words is "four trillion, twenty-three billion, two hundred twelve million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 1889 2050 3778 4100 7556 8200 9445 15112 18890 37780 47225 75560 77449 94450 154898 188900 259733 309796 377800 387245 519466 619592 774490 1038932 1298665 1548980 1936225 2077864 2597330 3097960 3872450 5194660 6493325 7744900 10389320 10649053 12986650 15489800 21298106 25973300 42596212 51946600 53245265 85192424 106490530 212981060 266226325 425962120 490635637 532452650 981271274 1064905300 1962542548 2129810600 2453178185 3925085096 4906356370 9812712740 12265890925 19625425480 20116061117 24531781850 40232122234 49063563700 80464244468 98127127400 100580305585 160928488936 201160611170 402321222340 502901527925 804642444680 1005803055850 2011606111700 4023212223400