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2233002420 = 22325111318609
BaseRepresentation
bin1000010100011000…
…1110100110110100
312202121210021110100
42011012032212310
514033122034140
61005324554100
7106223131065
oct20506164664
95677707410
102233002420
11a46520850
125239b2930
1329781810c
141727cc56c
15d108a530
hex8518e9b4

2233002420 has 144 divisors (see below), whose sum is σ = 7446479040. Its totient is φ = 537139200.

The previous prime is 2233002419. The next prime is 2233002437. The reversal of 2233002420 is 242003322.

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 = 2233002393 and 2233002402.

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, 255076 + ... + 263684.

It is an arithmetic number, because the mean of its divisors is an integer number (51711660).

Almost surely, 22233002420 is an apocalyptic number.

2233002420 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 2233002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723239520).

2233002420 is an abundant number, since it is smaller than the sum of its proper divisors (5213476620).

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

2233002420 is a wasteful number, since it uses less digits than its factorization.

2233002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8761 counting only the distinct ones).

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

The square root of 2233002420 is about 47254.6550087925. The cubic root of 2233002420 is about 1307.0626297493.

Adding to 2233002420 its reverse (242003322), we get a palindrome (2475005742).

The spelling of 2233002420 in words is "two billion, two hundred thirty-three million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 131 132 165 180 198 220 262 330 393 396 495 524 655 660 786 990 1179 1310 1441 1572 1965 1980 2358 2620 2882 3930 4323 4716 5764 5895 7205 7860 8609 8646 11790 12969 14410 17218 17292 21615 23580 25827 25938 28820 34436 43045 43230 51654 51876 64845 77481 86090 86460 94699 103308 129135 129690 154962 172180 189398 258270 259380 284097 309924 378796 387405 473495 516540 568194 774810 852291 946990 1127779 1136388 1420485 1549620 1704582 1893980 2255558 2840970 3383337 3409164 4261455 4511116 5638895 5681940 6766674 8522910 10150011 11277790 12405569 13533348 16916685 17045820 20300022 22555580 24811138 33833370 37216707 40600044 49622276 50750055 62027845 67666740 74433414 101500110 111650121 124055690 148866828 186083535 203000220 223300242 248111380 372167070 446600484 558250605 744334140 1116501210 2233002420