Search a number
-
+
233222401016 = 231123230716319
BaseRepresentation
bin1101100100110100100…
…0110110101111111000
3211021222200002112001022
43121031020312233320
512310114413313031
6255050233242012
722564316462003
oct3311510665770
9737880075038
10233222401016
118a9aaa68870
1239249863308
1318cba197027
14b4064a653a
1560eee2397b
hex364d236bf8

233222401016 has 96 divisors (see below), whose sum is σ = 500343782400. Its totient is φ = 101064553920.

The previous prime is 233222400991. The next prime is 233222401021. The reversal of 233222401016 is 610104222332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14283305 + ... + 14299623.

It is an arithmetic number, because the mean of its divisors is an integer number (5211914400).

Almost surely, 2233222401016 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 233222401016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250171891200).

233222401016 is an abundant number, since it is smaller than the sum of its proper divisors (267121381384).

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

233222401016 is a wasteful number, since it uses less digits than its factorization.

233222401016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 233222401016 its reverse (610104222332), we get a palindrome (843326623348).

The spelling of 233222401016 in words is "two hundred thirty-three billion, two hundred twenty-two million, four hundred one thousand, sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 307 506 529 614 1012 1058 1228 2024 2116 2456 3377 4232 5819 6754 7061 11638 13508 14122 16319 23276 27016 28244 32638 46552 56488 65276 77671 130552 155342 162403 179509 310684 324806 359018 375337 621368 649612 718036 750674 1299224 1436072 1501348 1786433 3002696 3572866 4128707 5009933 7145732 8257414 8632751 10019866 14291464 16514828 17265502 20039732 33029656 34531004 40079464 55109263 69062008 94960261 110218526 115228459 189920522 220437052 230456918 379841044 440874104 460913836 759682088 921827672 1267513049 2535026098 2650254557 5070052196 5300509114 10140104392 10601018228 21202036456 29152800127 58305600254 116611200508 233222401016