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36224205030 = 232513172149719
BaseRepresentation
bin100001101111001000…
…011000000011100110
310110111112020021112100
4201233020120003212
51043141344030110
624350254232530
72421445443126
oct415710300346
9113445207470
1036224205030
11143a968a432
12702b4b5746
133553a41560
141a78d3ac86
15e2029cbc0
hex86f2180e6

36224205030 has 288 divisors, whose sum is σ = 108619056000. Its totient is φ = 8324296704.

The previous prime is 36224205023. The next prime is 36224205037. The reversal of 36224205030 is 3050242263.

36224205030 is a `hidden beast` number, since 3 + 622 + 4 + 2 + 0 + 5 + 0 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (36224205023) and next prime (36224205037).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36224204985 and 36224205003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36224205037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50381011 + ... + 50381729.

It is an arithmetic number, because the mean of its divisors is an integer number (377149500).

Almost surely, 236224205030 is an apocalyptic number.

36224205030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36224205030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54309528000).

36224205030 is an abundant number, since it is smaller than the sum of its proper divisors (72394850970).

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

36224205030 is a wasteful number, since it uses less digits than its factorization.

36224205030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 36224205030 its reverse (3050242263), we get a palindrome (39274447293).

The spelling of 36224205030 in words is "thirty-six billion, two hundred twenty-four million, two hundred five thousand, thirty".