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5223400 = 2352721341
BaseRepresentation
bin10011111011001111101000
3100211101011021
4103323033220
52314122100
6303542224
762253400
oct23731750
910741137
105223400
112a48466
1218ba974
13110b690
1499d800
156d2a1a
hex4fb3e8

5223400 has 144 divisors (see below), whose sum is σ = 15584940. Its totient is φ = 1612800.

The previous prime is 5223397. The next prime is 5223409. The reversal of 5223400 is 43225.

It can be written as a sum of positive squares in 6 ways, for example, as 142884 + 5080516 = 378^2 + 2254^2 .

It is not an unprimeable number, because it can be changed into a prime (5223409) 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, 127380 + ... + 127420.

Almost surely, 25223400 is an apocalyptic number.

5223400 is a gapful number since it is divisible by the number (50) 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 5223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792470).

5223400 is an abundant number, since it is smaller than the sum of its proper divisors (10361540).

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

5223400 is a wasteful number, since it uses less digits than its factorization.

5223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5223400 is about 2285.4758804240. The cubic root of 5223400 is about 173.5073039638.

Adding to 5223400 its reverse (43225), we get a palindrome (5266625).

The spelling of 5223400 in words is "five million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 41 49 50 52 56 65 70 82 91 98 100 104 130 140 164 175 182 196 200 205 245 260 280 287 325 328 350 364 392 410 455 490 520 533 574 637 650 700 728 820 910 980 1025 1066 1148 1225 1274 1300 1400 1435 1640 1820 1960 2009 2050 2132 2275 2296 2450 2548 2600 2665 2870 3185 3640 3731 4018 4100 4264 4550 4900 5096 5330 5740 6370 7175 7462 8036 8200 9100 9800 10045 10660 11480 12740 13325 14350 14924 15925 16072 18200 18655 20090 21320 25480 26117 26650 28700 29848 31850 37310 40180 50225 52234 53300 57400 63700 74620 80360 93275 100450 104468 106600 127400 130585 149240 186550 200900 208936 261170 373100 401800 522340 652925 746200 1044680 1305850 2611700 5223400