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4223445200 = 245213262477
BaseRepresentation
bin1111101110111100…
…1010100011010000
3101220100011020122022
43323233022203100
532122200221300
61535031031012
7206442456212
oct37357124320
911810136568
104223445200
11187802a987
1299a50b468
13523cc7300
142c0cba5b2
1519abb1285
hexfbbca8d0

4223445200 has 90 divisors (see below), whose sum is σ = 10987568514. Its totient is φ = 1559400960.

The previous prime is 4223445157. The next prime is 4223445217. The reversal of 4223445200 is 25443224.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 3348705424 + 874739776 = 57868^2 + 29576^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4223445200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36362 + ... + 98838.

Almost surely, 24223445200 is an apocalyptic number.

4223445200 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 4223445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493784257).

4223445200 is an abundant number, since it is smaller than the sum of its proper divisors (6764123314).

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

4223445200 is a wasteful number, since it uses less digits than its factorization.

4223445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62521 (or 62497 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4223445200 is about 64988.0388994775. The cubic root of 4223445200 is about 1616.4252324240.

Adding to 4223445200 its reverse (25443224), we get a palindrome (4248888424).

The spelling of 4223445200 in words is "four billion, two hundred twenty-three million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 2600 2704 3380 4225 5200 6760 8450 13520 16900 33800 62477 67600 124954 249908 312385 499816 624770 812201 999632 1249540 1561925 1624402 2499080 3123850 3248804 4061005 4998160 6247700 6497608 8122010 10558613 12495400 12995216 16244020 20305025 21117226 24990800 32488040 40610050 42234452 52793065 64976080 81220100 84468904 105586130 162440200 168937808 211172260 263965325 324880400 422344520 527930650 844689040 1055861300 2111722600 4223445200