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102202230222540 = 2233574292718169
BaseRepresentation
bin10111001111001111001111…
…101000001010111011001100
3111101212102211011000002221000
4113033033033220022323030
5101343440131414110130
61001211020103140300
730345603353160000
oct2717171750127314
9441772734002830
10102202230222540
112a6237a4610388
12b567588144690
134504823a80196
141b34885a4a700
15bc37ab90d260
hex5cf3cfa0aecc

102202230222540 has 480 divisors, whose sum is σ = 383725146168000. Its totient is φ = 22554966647808.

The previous prime is 102202230222529. The next prime is 102202230222553. The reversal of 102202230222540 is 45222032202201.

It is a happy number.

102202230222540 is a `hidden beast` number, since 1 + 0 + 2 + 202 + 230 + 2 + 225 + 4 + 0 = 666.

It is a super-3 number, since 3×1022022302225403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36240576 + ... + 38958744.

It is an arithmetic number, because the mean of its divisors is an integer number (799427387850).

Almost surely, 2102202230222540 is an apocalyptic number.

102202230222540 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 102202230222540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191862573084000).

102202230222540 is an abundant number, since it is smaller than the sum of its proper divisors (281522915945460).

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

102202230222540 is a wasteful number, since it uses less digits than its factorization.

102202230222540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718244 (or 2718215 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 102202230222540 its reverse (45222032202201), we get a palindrome (147424262424741).

The spelling of 102202230222540 in words is "one hundred two trillion, two hundred two billion, two hundred thirty million, two hundred twenty-two thousand, five hundred forty".