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5442224200 = 235272557997
BaseRepresentation
bin1010001000110000…
…11100000001001000
3112001021111122010021
411010120130001020
542121202133300
62300005430224
7251602066600
oct50430340110
915037448107
105442224200
112342aa2656
12107a70b374
1368966520a
14398ad7c00
1521cbaad1a
hex14461c048

5442224200 has 144 divisors (see below), whose sum is σ = 14760210420. Its totient is φ = 1860687360.

The previous prime is 5442224171. The next prime is 5442224201. The reversal of 5442224200 is 24222445.

It can be written as a sum of positive squares in 6 ways, for example, as 1748745124 + 3693479076 = 41818^2 + 60774^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5442224201) 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, 5458102 + ... + 5459098.

Almost surely, 25442224200 is an apocalyptic number.

5442224200 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 5442224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380105210).

5442224200 is an abundant number, since it is smaller than the sum of its proper divisors (9317986220).

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

5442224200 is a wasteful number, since it uses less digits than its factorization.

5442224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 5442224200 is about 73771.4321400907. The cubic root of 5442224200 is about 1758.9715280803.

Adding to 5442224200 its reverse (24222445), we get a palindrome (5466446645).

The spelling of 5442224200 in words is "five billion, four hundred forty-two million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 557 700 980 997 1114 1225 1400 1960 1994 2228 2450 2785 3899 3988 4456 4900 4985 5570 6979 7798 7976 9800 9970 11140 13925 13958 15596 19495 19940 22280 24925 27293 27850 27916 31192 34895 38990 39880 48853 49850 54586 55700 55832 69790 77980 97475 97706 99700 109172 111400 136465 139580 155960 174475 194950 195412 199400 218344 244265 272930 279160 348950 389900 390824 488530 545860 555329 682325 697900 779800 977060 1091720 1110658 1221325 1364650 1395800 1954120 2221316 2442650 2729300 2776645 3887303 4442632 4885300 5458600 5553290 7774606 9770600 11106580 13883225 15549212 19436515 22213160 27211121 27766450 31098424 38873030 54422242 55532900 77746060 97182575 108844484 111065800 136055605 155492120 194365150 217688968 272111210 388730300 544222420 680278025 777460600 1088444840 1360556050 2721112100 5442224200