Search a number
-
+
222910000000 = 275722291
BaseRepresentation
bin1100111110011001111…
…0001010101110000000
3210022100222111021021221
43033212132022232000
512123004430000000
6250223050524424
722050626510632
oct3174636125600
9708328437257
10222910000000
118659897a2a6
1237250136714
13180358593ac
14ab08a62a52
155be990761a
hex33e678ab80

222910000000 has 128 divisors (see below), whose sum is σ = 555121625760. Its totient is φ = 89160000000.

The previous prime is 222909999953. The next prime is 222910000039. The reversal of 222910000000 is 19222.

It is a happy number.

222910000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9988855 + ... + 10011145.

Almost surely, 2222910000000 is an apocalyptic number.

222910000000 is a gapful number since it is divisible by the number (20) 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 222910000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277560812880).

222910000000 is an abundant number, since it is smaller than the sum of its proper divisors (332211625760).

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

222910000000 is an frugal number, since it uses more digits than its factorization.

222910000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22340 (or 22298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 222910000000 its reverse (19222), we get a palindrome (222910019222).

The spelling of 222910000000 in words is "two hundred twenty-two billion, nine hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 22291 25000 31250 40000 44582 50000 62500 78125 80000 89164 100000 111455 125000 156250 178328 200000 222910 250000 312500 356656 400000 445820 500000 557275 625000 713312 891640 1000000 1114550 1250000 1426624 1783280 2000000 2229100 2500000 2786375 2853248 3566560 4458200 5000000 5572750 7133120 8916400 10000000 11145500 13931875 14266240 17832800 22291000 27863750 35665600 44582000 55727500 69659375 71331200 89164000 111455000 139318750 178328000 222910000 278637500 348296875 356656000 445820000 557275000 696593750 891640000 1114550000 1393187500 1741484375 1783280000 2229100000 2786375000 3482968750 4458200000 5572750000 6965937500 8916400000 11145500000 13931875000 22291000000 27863750000 44582000000 55727500000 111455000000 222910000000