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4442222500 = 2254312432
BaseRepresentation
bin1000010001100011…
…01110111110100100
3102110120211021200021
410020301232332210
533044202110000
62012444124524
7215040161002
oct41061567644
912416737607
104442222500
11197a578571
12a3b836744
1355a427331
14301d89a72
151aeec911a
hex108c6efa4

4442222500 has 135 divisors (see below), whose sum is σ = 10276587783. Its totient is φ = 1679580000.

The previous prime is 4442222489. The next prime is 4442222509. The reversal of 4442222500 is 52222444.

The square root of 4442222500 is 66650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 348270244 + 4093952256 = 18662^2 + 63984^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4442222509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 103307479 + ... + 103307521.

Almost surely, 24442222500 is an apocalyptic number.

4442222500 is the 66650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442222500

4442222500 is an abundant number, since it is smaller than the sum of its proper divisors (5834365283).

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

4442222500 is an equidigital number, since it uses as much as digits as its factorization.

4442222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

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

The cubic root of 4442222500 is about 1643.8673479042.

Multiplying 4442222500 by its sum of digits (25), we get a square (111055562500 = 3332502).

4442222500 divided by its sum of digits (25) gives a square (177688900 = 133302).

Adding to 4442222500 its reverse (52222444), we get a palindrome (4494444944).

The spelling of 4442222500 in words is "four billion, four hundred forty-two million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 124 125 155 172 215 250 310 430 500 620 625 775 860 961 1075 1250 1333 1550 1849 1922 2150 2500 2666 3100 3698 3844 3875 4300 4805 5332 5375 6665 7396 7750 9245 9610 10750 13330 15500 18490 19220 19375 21500 24025 26660 26875 33325 36980 38750 41323 46225 48050 53750 57319 66650 77500 82646 92450 96100 107500 114638 120125 133300 165292 166625 184900 206615 229276 231125 240250 286595 333250 413230 462250 480500 573190 600625 666500 826460 833125 924500 1033075 1146380 1155625 1201250 1432975 1666250 1776889 2066150 2311250 2402500 2865950 3332500 3553778 4132300 4622500 5165375 5731900 7107556 7164875 8884445 10330750 14329750 17768890 20661500 25826875 28659500 35537780 35824375 44422225 51653750 71648750 88844450 103307500 143297500 177688900 222111125 444222250 888444500 1110555625 2221111250 4442222500