Search a number
-
+
10222023300 = 22352377911657
BaseRepresentation
bin10011000010100011…
…11011001010000100
3222101101112120211120
421201101323022010
5131413314221200
64410153233540
7511211523126
oct114121731204
928341476746
1010222023300
11437607a445
121b934028b0
13c6b9b5ac8
146cd839216
153ec6179a0
hex26147b284

10222023300 has 144 divisors (see below), whose sum is σ = 30762197760. Its totient is φ = 2618403840.

The previous prime is 10222023241. The next prime is 10222023311. The reversal of 10222023300 is 332022201.

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 10222023300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871072 + ... + 882728.

Almost surely, 210222023300 is an apocalyptic number.

10222023300 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 10222023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381098880).

10222023300 is an abundant number, since it is smaller than the sum of its proper divisors (20540174460).

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

10222023300 is a wasteful number, since it uses less digits than its factorization.

10222023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 11783 counting only the distinct ones).

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

Adding to 10222023300 its reverse (332022201), we get a palindrome (10554045501).

The spelling of 10222023300 in words is "ten billion, two hundred twenty-two million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 79 100 111 148 150 158 185 222 237 300 316 370 395 444 474 555 740 790 925 948 1110 1185 1580 1850 1975 2220 2370 2775 2923 3700 3950 4740 5550 5846 5925 7900 8769 11100 11657 11692 11850 14615 17538 23314 23700 29230 34971 35076 43845 46628 58285 58460 69942 73075 87690 116570 139884 146150 174855 175380 219225 233140 291425 292300 349710 431309 438450 582850 699420 862618 874275 876900 920903 1165700 1293927 1725236 1748550 1841806 2156545 2587854 2762709 3497100 3683612 4313090 4604515 5175708 5525418 6469635 8626180 9209030 10782725 11050836 12939270 13813545 18418060 21565450 23022575 25878540 27627090 32348175 34073411 43130900 46045150 55254180 64696350 68146822 69067725 92090300 102220233 129392700 136293644 138135450 170367055 204440466 276270900 340734110 408880932 511101165 681468220 851835275 1022202330 1703670550 2044404660 2555505825 3407341100 5111011650 10222023300