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220003412010 = 2355927328859
BaseRepresentation
bin1100110011100100111…
…0011010100000101010
3210000212102020022010220
43030321032122200222
512101031333141020
6245022420350510
721615614101314
oct3147116324052
9700772208126
10220003412010
1185337210768
123677a845436
131799161cb45
14a910a147b4
155ac9666240
hex333939a82a

220003412010 has 96 divisors (see below), whose sum is σ = 544485689280. Its totient is φ = 56881195776.

The previous prime is 220003412003. The next prime is 220003412011. The reversal of 220003412010 is 10214300022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220003412011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7608961 + ... + 7637819.

It is an arithmetic number, because the mean of its divisors is an integer number (5671725930).

Almost surely, 2220003412010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220003412010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272242844640).

220003412010 is an abundant number, since it is smaller than the sum of its proper divisors (324482277270).

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

220003412010 is a wasteful number, since it uses less digits than its factorization.

220003412010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29060 (or 29001 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220003412010 its reverse (10214300022), we get a palindrome (230217712032).

The spelling of 220003412010 in words is "two hundred twenty billion, three million, four hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 59 73 118 146 177 219 295 354 365 438 590 730 885 1095 1770 2190 3481 4307 6962 8614 10443 12921 17405 20886 21535 25842 28859 34810 43070 52215 57718 64605 86577 104430 129210 144295 173154 254113 288590 432885 508226 762339 865770 1270565 1524678 1702681 2106707 2541130 3405362 3811695 4213414 5108043 6320121 7623390 8513405 10216086 10533535 12640242 17026810 21067070 25540215 31600605 51080430 63201210 100458179 124295713 200916358 248591426 301374537 372887139 502290895 602749074 621478565 745774278 1004581790 1242957130 1506872685 1864435695 3013745370 3728871390 7333447067 14666894134 22000341201 36667235335 44000682402 73334470670 110001706005 220003412010