Search a number
-
+
1320222300 = 2235228115661
BaseRepresentation
bin100111010110000…
…1111111001011100
310102000020020112020
41032230033321130
510200434103200
6335000540140
744500463415
oct11654177134
93360206466
101320222300
1161825a611
1230a181650
13180698637
14c74a680c
157ad86ea0
hex4eb0fe5c

1320222300 has 72 divisors (see below), whose sum is σ = 3833681712. Its totient is φ = 350784000.

The previous prime is 1320222269. The next prime is 1320222307. The reversal of 1320222300 is 32220231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320222307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76470 + ... + 92130.

Almost surely, 21320222300 is an apocalyptic number.

1320222300 is a gapful number since it is divisible by the number (10) 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 1320222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916840856).

1320222300 is an abundant number, since it is smaller than the sum of its proper divisors (2513459412).

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

1320222300 is a wasteful number, since it uses less digits than its factorization.

1320222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15959 (or 15952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1320222300 is about 36334.8634234395. The cubic root of 1320222300 is about 1097.0228864490.

Adding to 1320222300 its reverse (32220231), we get a palindrome (1352442531).

The spelling of 1320222300 in words is "one billion, three hundred twenty million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 281 300 562 843 1124 1405 1686 2810 3372 4215 5620 7025 8430 14050 15661 16860 21075 28100 31322 42150 46983 62644 78305 84300 93966 156610 187932 234915 313220 391525 469830 783050 939660 1174575 1566100 2349150 4400741 4698300 8801482 13202223 17602964 22003705 26404446 44007410 52808892 66011115 88014820 110018525 132022230 220037050 264044460 330055575 440074100 660111150 1320222300