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2220233120032 = 252353419135841
BaseRepresentation
bin100000010011110000001…
…101001101100100100000
321212020210212022112021111
4200103300031031210200
5242334014134320112
64415543325033104
7316256306065144
oct40236015154440
97766725275244
102220233120032
11786660795594
122ba3676b5794
131314a0640605
1479661bbb224
153cb478ba5a7
hex204f034d920

2220233120032 has 96 divisors (see below), whose sum is σ = 4658315598720. Its totient is φ = 1039321620480.

The previous prime is 2220233120023. The next prime is 2220233120057. The reversal of 2220233120032 is 2300213320222.

It is a junction number, because it is equal to n+sod(n) for n = 2220233119985 and 2220233120012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16276432 + ... + 16412272.

It is an arithmetic number, because the mean of its divisors is an integer number (48524120820).

Almost surely, 22220233120032 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 2220233120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329157799360).

2220233120032 is an abundant number, since it is smaller than the sum of its proper divisors (2438082478688).

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

2220233120032 is a wasteful number, since it uses less digits than its factorization.

2220233120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136346 (or 136338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2220233120032 its reverse (2300213320222), we get a palindrome (4520446440254).

The spelling of 2220233120032 in words is "two trillion, two hundred twenty billion, two hundred thirty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 419 424 736 838 848 1219 1676 1696 2438 3352 4876 6704 9637 9752 13408 19274 19504 22207 38548 39008 44414 77096 88828 135841 154192 177656 271682 308384 355312 510761 543364 710624 1021522 1086728 2043044 2173456 3124343 4086088 4346912 6248686 7199573 8172176 12497372 14399146 16344352 24994744 28798292 49989488 56917379 57596584 99978976 113834758 115193168 165590179 227669516 230386336 331180358 455339032 662360716 910678064 1309099717 1324721432 1821356128 2618199434 2649442864 3016621087 5236398868 5298885728 6033242174 10472797736 12066484348 20945595472 24132968696 41891190944 48265937392 69382285001 96531874784 138764570002 277529140004 555058280008 1110116560016 2220233120032