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10222033100 = 2252294381973
BaseRepresentation
bin10011000010100011…
…11101100011001100
3222101101120002021112
421201101331203030
5131413320024400
64410153351152
7511211563526
oct114121754314
928341502245
1010222033100
114376086844
121b934084b8
13c6b9ba3c6
146cd83ca16
153ec61a835
hex26147d8cc

10222033100 has 72 divisors (see below), whose sum is σ = 23480632560. Its totient is φ = 3855962880.

The previous prime is 10222033099. The next prime is 10222033109. The reversal of 10222033100 is 133022201.

It is a happy number.

It is a super-2 number, since 2×102220331002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222033109) 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, 83714 + ... + 165686.

Almost surely, 210222033100 is an apocalyptic number.

10222033100 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 10222033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740316280).

10222033100 is an abundant number, since it is smaller than the sum of its proper divisors (13258599460).

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

10222033100 is a wasteful number, since it uses less digits than its factorization.

10222033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82059 (or 82052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10222033100 its reverse (133022201), we get a palindrome (10355055301).

The spelling of 10222033100 in words is "ten billion, two hundred twenty-two million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 145 172 215 290 430 580 725 860 1075 1247 1450 2150 2494 2900 4300 4988 6235 12470 24940 31175 62350 81973 124700 163946 327892 409865 819730 1639460 2049325 2377217 3524839 4098650 4754434 7049678 8197300 9508868 11886085 14099356 17624195 23772170 35248390 47544340 59430425 70496780 88120975 102220331 118860850 176241950 204440662 237721700 352483900 408881324 511101655 1022203310 2044406620 2555508275 5111016550 10222033100