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220010221312 = 287201161051
BaseRepresentation
bin1100110011100110100…
…0011000111100000000
3210000212220001020202021
43030321220120330000
512101040104040222
6245023222331224
721616026011440
oct3147150307400
9700786036667
10220010221312
1185340041692
1236780b89b14
1317992b6530b
14a9118a8120
155aca05dac7
hex3339a18f00

220010221312 has 72 divisors (see below), whose sum is σ = 502156118912. Its totient is φ = 94241664000.

The previous prime is 220010221271. The next prime is 220010221313. The reversal of 220010221312 is 213122010022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010221313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3573187 + ... + 3634237.

Almost surely, 2220010221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220010221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251078059456).

220010221312 is an abundant number, since it is smaller than the sum of its proper divisors (282145897600).

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

220010221312 is an equidigital number, since it uses as much as digits as its factorization.

220010221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63085 (or 63071 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220010221312 its reverse (213122010022), we get a palindrome (433132231334).

The spelling of 220010221312 in words is "two hundred twenty billion, ten million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2011 4022 8044 14077 16088 28154 32176 56308 61051 64352 112616 122102 128704 225232 244204 257408 427357 450464 488408 514816 854714 900928 976816 1709428 1801856 1953632 3418856 3603712 3907264 6837712 7814528 13675424 15629056 27350848 54701696 109403392 122773561 245547122 491094244 859414927 982188488 1718829854 1964376976 3437659708 3928753952 6875319416 7857507904 13750638832 15715015808 27501277664 31430031616 55002555328 110005110656 220010221312