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1222000020 = 223452273323
BaseRepresentation
bin100100011010110…
…0011110110010100
310011011102000220000
41020311203312110
510000313000040
6321131411300
742165554163
oct11065436624
93134360800
101222000020
1157787277a
122a12b3b30
13166228047
14b84193da
1572434130
hex48d63d94

1222000020 has 120 divisors (see below), whose sum is σ = 3851505504. Its totient is φ = 324333504.

The previous prime is 1222000009. The next prime is 1222000037. The reversal of 1222000020 is 200002221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1221999966 and 1222000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366079 + ... + 369401.

Almost surely, 21222000020 is an apocalyptic number.

1222000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925752752).

1222000020 is an abundant number, since it is smaller than the sum of its proper divisors (2629505484).

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

1222000020 is a wasteful number, since it uses less digits than its factorization.

1222000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1222000020 is about 34957.1168719619. The cubic root of 1222000020 is about 1069.1133132303.

Adding to 1222000020 its reverse (200002221), we get a palindrome (1422002241).

The spelling of 1222000020 in words is "one billion, two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 227 270 324 405 454 540 681 810 908 1135 1362 1620 2043 2270 2724 3323 3405 4086 4540 6129 6646 6810 8172 9969 10215 12258 13292 13620 16615 18387 19938 20430 24516 29907 30645 33230 36774 39876 40860 49845 59814 61290 66460 73548 89721 91935 99690 119628 122580 149535 179442 183870 199380 269163 299070 358884 367740 448605 538326 598140 754321 897210 1076652 1345815 1508642 1794420 2262963 2691630 3017284 3771605 4525926 5383260 6788889 7543210 9051852 11314815 13577778 15086420 20366667 22629630 27155556 33944445 40733334 45259260 61100001 67888890 81466668 101833335 122200002 135777780 203666670 244400004 305500005 407333340 611000010 1222000020