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1220051322 = 23474012683
BaseRepresentation
bin100100010111000…
…1000000101111010
310011000202000210000
41020232020011322
54444313120242
6321021533430
742143156640
oct11056100572
93130660700
101220051322
11576761686
122a0714276
131659c5079
14b806d190
157219ba4c
hex48b8817a

1220051322 has 80 divisors (see below), whose sum is σ = 3133323072. Its totient is φ = 347587200.

The previous prime is 1220051321. The next prime is 1220051363. The reversal of 1220051322 is 2231500221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1220051295 and 1220051304.

It is not an unprimeable number, because it can be changed into a prime (1220051321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 453393 + ... + 456075.

Almost surely, 21220051322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220051322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566661536).

1220051322 is an abundant number, since it is smaller than the sum of its proper divisors (1913271750).

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

1220051322 is a wasteful number, since it uses less digits than its factorization.

1220051322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1220051322 is about 34929.2330577126. The cubic root of 1220051322 is about 1068.5447132947.

Adding to 1220051322 its reverse (2231500221), we get a palindrome (3451551543).

The spelling of 1220051322 in words is "one billion, two hundred twenty million, fifty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 401 567 802 1134 1203 2406 2683 2807 3609 5366 5614 7218 8049 8421 10827 16098 16842 18781 21654 24147 25263 32481 37562 48294 50526 56343 64962 72441 75789 112686 144882 151578 169029 217323 227367 338058 434646 454734 507087 1014174 1075883 1521261 2151766 3042522 3227649 6455298 7531181 9682947 15062362 19365894 22593543 29048841 45187086 58097682 67780629 87146523 135561258 174293046 203341887 406683774 610025661 1220051322