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23322004020 = 223257131914033
BaseRepresentation
bin10101101110000110…
…011000101000110100
32020012100110120001200
4111232012120220310
5340230413112040
614414115252500
71453640522550
oct255606305064
966170416050
1023322004020
119988732897
12462a5aa130
1322789c25a3
1411b358c860
15917718630
hex56e198a34

23322004020 has 144 divisors (see below), whose sum is σ = 80916675840. Its totient is φ = 5326322688.

The previous prime is 23322004009. The next prime is 23322004049. The reversal of 23322004020 is 2040022332.

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 = 23322003984 and 23322004002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654924 + ... + 1668956.

It is an arithmetic number, because the mean of its divisors is an integer number (561921360).

Almost surely, 223322004020 is an apocalyptic number.

23322004020 is a gapful number since it is divisible by the number (20) 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 23322004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40458337920).

23322004020 is an abundant number, since it is smaller than the sum of its proper divisors (57594671820).

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

23322004020 is a wasteful number, since it uses less digits than its factorization.

23322004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15374 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23322004020 its reverse (2040022332), we get a palindrome (25362026352).

The spelling of 23322004020 in words is "twenty-three billion, three hundred twenty-two million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1319 2638 3957 5276 6595 7914 9233 11871 13190 14033 15828 18466 19785 23742 26380 27699 28066 36932 39570 42099 46165 47484 55398 56132 59355 70165 79140 83097 84198 92330 98231 110796 118710 126297 138495 140330 166194 168396 184660 196462 210495 237420 252594 276990 280660 294693 332388 392924 415485 420990 491155 505188 553980 589386 631485 830970 841980 884079 982310 1178772 1262970 1473465 1661940 1768158 1964620 2525940 2946930 3536316 4420395 5893860 8840790 17681580 18509527 37019054 55528581 74038108 92547635 111057162 129566689 166585743 185095270 222114324 259133378 277642905 333171486 370190540 388700067 518266756 555285810 647833445 666342972 777400134 832928715 1110571620 1166100201 1295666890 1554800268 1665857430 1943500335 2332200402 2591333780 3331714860 3887000670 4664400804 5830501005 7774001340 11661002010 23322004020