Search a number
-
+
22100020000 = 25547315137
BaseRepresentation
bin10100100101010000…
…111000101100100000
32010001012002100010021
4110211100320230200
5330230101120000
614052544043224
71411442033122
oct244520705440
963035070107
1022100020000
119410981143
124349303514
1321127a1916
1410d9179212
158952d911a
hex525438b20

22100020000 has 120 divisors (see below), whose sum is σ = 55117791036. Its totient is φ = 8718336000.

The previous prime is 22100019989. The next prime is 22100020037. The reversal of 22100020000 is 2000122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 845879056 + 21254140944 = 29084^2 + 145788^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1452432 + ... + 1467568.

Almost surely, 222100020000 is an apocalyptic number.

22100020000 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 22100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27558895518).

22100020000 is an abundant number, since it is smaller than the sum of its proper divisors (33017771036).

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

22100020000 is an equidigital number, since it uses as much as digits as its factorization.

22100020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22100020000 its reverse (2000122), we get a palindrome (22102020122).

The spelling of 22100020000 in words is "twenty-two billion, one hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 9125 10000 11680 14600 15137 18250 20000 29200 30274 36500 45625 58400 60548 73000 75685 91250 121096 146000 151370 182500 242192 292000 302740 365000 378425 484384 605480 730000 756850 1105001 1210960 1460000 1513700 1892125 2210002 2421920 3027400 3784250 4420004 5525005 6054800 7568500 8840008 9460625 11050010 12109600 15137000 17680016 18921250 22100020 27625025 30274000 35360032 37842500 44200040 55250050 60548000 75685000 88400080 110500100 138125125 151370000 176800160 221000200 276250250 302740000 442000400 552500500 690625625 884000800 1105001000 1381251250 2210002000 2762502500 4420004000 5525005000 11050010000 22100020000