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233243252121220 = 2251121314871510753
BaseRepresentation
bin110101000010001000101101…
…001100000101111010000100
31010120211211121021101012010121
4311002020231030011322010
5221032424140020334340
62144022245405231324
7100062161136126655
oct6502105514057204
91116754537335117
10233243252121220
11683559a9202100
12221b0131262544
13a01b98a2ba013
14418506842b52c
151be72d3cae94a
hexd4222d305e84

233243252121220 has 144 divisors (see below), whose sum is σ = 543611251903104. Its totient is φ = 83995393996800.

The previous prime is 233243252121203. The next prime is 233243252121293. The reversal of 233243252121220 is 22121252342332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153633364 + ... + 155144116.

It is an arithmetic number, because the mean of its divisors is an integer number (3775078138216).

Almost surely, 2233243252121220 is an apocalyptic number.

233243252121220 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 233243252121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271805625951552).

233243252121220 is an abundant number, since it is smaller than the sum of its proper divisors (310367999781884).

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

233243252121220 is a wasteful number, since it uses less digits than its factorization.

233243252121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511402 (or 1511389 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 233243252121220 in words is "two hundred thirty-three trillion, two hundred forty-three billion, two hundred fifty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 131 220 242 262 484 487 524 605 655 974 1210 1310 1441 1948 2420 2435 2620 2882 4870 5357 5764 7205 9740 10714 14410 15851 21428 26785 28820 31702 53570 58927 63404 63797 79255 107140 117854 127594 158510 235708 255188 294635 317020 318985 589270 637970 701767 1178540 1275940 1403534 1510753 2807068 3021506 3508835 6043012 7017670 7553765 7719437 14035340 15107530 15438874 16618283 30215060 30877748 33236566 38597185 66473132 77194370 83091415 154388740 166182830 182801113 197908643 332365660 365602226 395817286 731204452 735736711 791634572 914005565 989543215 1471473422 1828011130 1979086430 2176995073 2942946844 3656022260 3678683555 3958172860 4353990146 7357367110 8093103821 8707980292 10884975365 14714734220 16186207642 21769950730 23946945803 32372415284 40465519105 43539901460 47893891606 80931038210 89024142031 95787783212 96381509141 119734729015 161862076420 178048284062 192763018282 239469458030 356096568124 385526036564 445120710155 478938916060 481907545705 890241420310 963815091410 1060196600551 1780482840620 1927630182820 2120393201102 4240786402204 5300983002755 10601966005510 11662162606061 21203932011020 23324325212122 46648650424244 58310813030305 116621626060610 233243252121220