Search a number
-
+
22410203100 = 22352121761381
BaseRepresentation
bin10100110111110000…
…001000111111011100
32010211210202021100020
4110313300020333130
5331344002444400
614143424232140
71422226404045
oct246760107734
963753667306
1022410203100
11955aa8030a
12441516b650
132161b2670c
14112843d8cc
158b265a2a0
hex537c08fdc

22410203100 has 72 divisors (see below), whose sum is σ = 64894523568. Its totient is φ = 5971046400.

The previous prime is 22410203077. The next prime is 22410203147. The reversal of 22410203100 is 130201422.

It is a super-2 number, since 2×224102031002 (a number of 22 digits) contains 22 as substring.

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 22410203100.

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 23 ways as a sum of consecutive naturals, for example, 334410 + ... + 395790.

Almost surely, 222410203100 is an apocalyptic number.

22410203100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22410203100 is an abundant number, since it is smaller than the sum of its proper divisors (42484320468).

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

22410203100 is a wasteful number, since it uses less digits than its factorization.

22410203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62615 (or 62608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22410203100 its reverse (130201422), we get a palindrome (22540404522).

The spelling of 22410203100 in words is "twenty-two billion, four hundred ten million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1217 2434 3651 4868 6085 7302 12170 14604 18255 24340 30425 36510 60850 61381 73020 91275 121700 122762 182550 184143 245524 306905 365100 368286 613810 736572 920715 1227620 1534525 1841430 3069050 3682860 4603575 6138100 9207150 18414300 74700677 149401354 224102031 298802708 373503385 448204062 747006770 896408124 1120510155 1494013540 1867516925 2241020310 3735033850 4482040620 5602550775 7470067700 11205101550 22410203100