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53202223440 = 2433547951421
BaseRepresentation
bin110001100011000110…
…011000000101010000
312002022202100222101000
4301203012120011100
51332424232122230
640235112142000
73562254303102
oct614306300520
9162282328330
1053202223440
11206212a4a03
12a389397900
13502b3095b2
142809b37572
1515b5a81b60
hexc63198150

53202223440 has 160 divisors (see below), whose sum is σ = 183638246400. Its totient is φ = 14157365760.

The previous prime is 53202223421. The next prime is 53202223457. The reversal of 53202223440 is 4432220235.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008930 + ... + 1060350.

It is an arithmetic number, because the mean of its divisors is an integer number (1147739040).

Almost surely, 253202223440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53202223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91819123200).

53202223440 is an abundant number, since it is smaller than the sum of its proper divisors (130436022960).

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

53202223440 is a wasteful number, since it uses less digits than its factorization.

53202223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51922 (or 51910 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 53202223440 its reverse (4432220235), we get a palindrome (57634443675).

The spelling of 53202223440 in words is "fifty-three billion, two hundred two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 479 540 720 958 1080 1437 1916 2160 2395 2874 3832 4311 4790 5748 7185 7664 8622 9580 11496 12933 14370 17244 19160 21555 22992 25866 28740 34488 38320 43110 51421 51732 57480 64665 68976 86220 102842 103464 114960 129330 154263 172440 205684 206928 257105 258660 308526 344880 411368 462789 514210 517320 617052 771315 822736 925578 1028420 1034640 1234104 1388367 1542630 1851156 2056840 2313945 2468208 2776734 3085260 3702312 4113680 4627890 5553468 6170520 6941835 7404624 9255780 11106936 12341040 13883670 18511560 22213872 24630659 27767340 37023120 49261318 55534680 73891977 98522636 111069360 123153295 147783954 197045272 221675931 246306590 295567908 369459885 394090544 443351862 492613180 591135816 665027793 738919770 886703724 985226360 1108379655 1182271632 1330055586 1477839540 1773407448 1970452720 2216759310 2660111172 2955679080 3325138965 3546814896 4433518620 5320222344 5911358160 6650277930 8867037240 10640444688 13300555860 17734074480 26601111720 53202223440