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1221620022 = 233723227619
BaseRepresentation
bin100100011010000…
…0111000100110110
310011010200201122000
41020310013010312
510000213320042
6321115320130
742162412260
oct11064070466
93133621560
101221620022
11577633227
122a1150046
131661240ac
14b835ab30
15723ab74c
hex48d07136

1221620022 has 128 divisors (see below), whose sum is σ = 3256934400. Its totient is φ = 331851168.

The previous prime is 1221620011. The next prime is 1221620027. The reversal of 1221620022 is 2200261221.

1221620022 is a `hidden beast` number, since 1 + 2 + 21 + 620 + 0 + 22 = 666.

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 = 1221619977 and 1221620004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221620027) 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 63 ways as a sum of consecutive naturals, for example, 1973229 + ... + 1973847.

It is an arithmetic number, because the mean of its divisors is an integer number (25444800).

Almost surely, 21221620022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221620022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628467200).

1221620022 is an abundant number, since it is smaller than the sum of its proper divisors (2035314378).

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

1221620022 is a wasteful number, since it uses less digits than its factorization.

1221620022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1221620022 is about 34951.6812471160. The cubic root of 1221620022 is about 1069.0024831615.

Adding to 1221620022 its reverse (2200261221), we get a palindrome (3421881243).

The spelling of 1221620022 in words is "one billion, two hundred twenty-one million, six hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 227 322 378 414 454 483 619 621 681 966 1238 1242 1362 1449 1589 1857 2043 2898 3178 3714 4086 4333 4347 4767 5221 5571 6129 8666 8694 9534 10442 11142 12258 12999 14237 14301 15663 16713 25998 28474 28602 31326 33426 36547 38997 42711 42903 46989 73094 77994 85422 85806 93978 99659 109641 116991 128133 140513 140967 199318 219282 233982 256266 281026 281934 298977 328923 384399 421539 597954 657846 768798 843078 896931 983591 986769 1264617 1793862 1967182 1973538 2529234 2690793 2950773 3231799 3793851 5381586 5901546 6463598 7587702 8852319 9695397 17704638 19390794 22622593 26556957 29086191 45245186 53113914 58172382 67867779 87258573 135735558 174517146 203603337 407206674 610810011 1221620022