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920000220 = 2235178310867
BaseRepresentation
bin110110110101100…
…001011011011100
32101010010212001020
4312311201123130
53341010001340
6231142444140
731540605246
oct6665413334
92333125036
10920000220
11432352867
12218133650
131187a9c39
148a285096
1555b7c9d0
hex36d616dc

920000220 has 96 divisors (see below), whose sum is σ = 2760645888. Its totient is φ = 228099072.

The previous prime is 920000219. The next prime is 920000243. The reversal of 920000220 is 22000029.

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

It is a self number, because there is not a number n which added to its sum of digits gives 920000220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79227 + ... + 90093.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 2920000220 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 920000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380322944).

920000220 is an abundant number, since it is smaller than the sum of its proper divisors (1840645668).

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

920000220 is a wasteful number, since it uses less digits than its factorization.

920000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 920000220 is about 30331.5054027986. The cubic root of 920000220 is about 972.5889037440.

Adding to 920000220 its reverse (22000029), we get a palindrome (942000249).

The spelling of 920000220 in words is "nine hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 332 340 415 498 510 830 996 1020 1245 1411 1660 2490 2822 4233 4980 5644 7055 8466 10867 14110 16932 21165 21734 28220 32601 42330 43468 54335 65202 84660 108670 130404 163005 184739 217340 326010 369478 554217 652020 738956 901961 923695 1108434 1803922 1847390 2216868 2705883 2771085 3607844 3694780 4509805 5411766 5542170 9019610 10823532 11084340 13529415 15333337 18039220 27058830 30666674 46000011 54117660 61333348 76666685 92000022 153333370 184000044 230000055 306666740 460000110 920000220