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10220230300 = 22527129711257
BaseRepresentation
bin10011000010010110…
…00101011010011100
3222101021011111022011
421201023011122130
5131412334332200
64410051001004
7511160344540
oct114113053234
928337144264
1010220230300
114375065325
121b92899164
13c6b508967
146cd4cda20
153ec3b15ba
hex2612c569c

10220230300 has 72 divisors (see below), whose sum is σ = 25367966624. Its totient is φ = 3501066240.

The previous prime is 10220230271. The next prime is 10220230301. The reversal of 10220230300 is 303202201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220230301) 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, 902272 + ... + 913528.

Almost surely, 210220230300 is an apocalyptic number.

10220230300 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 10220230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683983312).

10220230300 is an abundant number, since it is smaller than the sum of its proper divisors (15147736324).

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

10220230300 is a wasteful number, since it uses less digits than its factorization.

10220230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10220230300 its reverse (303202201), we get a palindrome (10523432501).

The spelling of 10220230300 in words is "ten billion, two hundred twenty million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1297 2594 5188 6485 9079 11257 12970 18158 22514 25940 32425 36316 45028 45395 56285 64850 78799 90790 112570 129700 157598 181580 225140 226975 281425 315196 393995 453950 562850 787990 907900 1125700 1575980 1969975 3939950 7879900 14600329 29200658 58401316 73001645 102202303 146003290 204404606 292006580 365008225 408809212 511011515 730016450 1022023030 1460032900 2044046060 2555057575 5110115150 10220230300