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10223442100 = 22521915233533
BaseRepresentation
bin10011000010101110…
…10101100010110100
3222101111012200001201
421201113111202310
5131414200121400
64410243502244
7511226552434
oct114127254264
928344180051
1010223442100
114376959403
121b93987984
13c6c091831
146cdac82c4
153ec7e806a
hex2615d58b4

10223442100 has 72 divisors (see below), whose sum is σ = 23374441440. Its totient is φ = 3870506880.

The previous prime is 10223442079. The next prime is 10223442101. The reversal of 10223442100 is 124432201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223442101) 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, 2891934 + ... + 2895466.

It is an arithmetic number, because the mean of its divisors is an integer number (324645020).

Almost surely, 210223442100 is an apocalyptic number.

10223442100 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 10223442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687220720).

10223442100 is an abundant number, since it is smaller than the sum of its proper divisors (13150999340).

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

10223442100 is a wasteful number, since it uses less digits than its factorization.

10223442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10223442100 its reverse (124432201), we get a palindrome (10347874301).

The spelling of 10223442100 in words is "ten billion, two hundred twenty-three million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1523 1900 3046 3533 6092 7066 7615 14132 15230 17665 28937 30460 35330 38075 57874 67127 70660 76150 88325 115748 134254 144685 152300 176650 268508 289370 335635 353300 578740 671270 723425 1342540 1446850 1678175 2893700 3356350 5380759 6712700 10761518 21523036 26903795 53807590 102234421 107615180 134518975 204468842 269037950 408937684 511172105 538075900 1022344210 2044688420 2555860525 5111721050 10223442100