Search a number
-
+
2233456221632 = 26836136311087
BaseRepresentation
bin100000100000000100010…
…111010101110111000000
321220111221101220200121012
4200200010113111313000
5243043104243043012
64430011410020052
7320235061434566
oct40400427256700
97814841820535
102233456221632
117912268a1529
12300a37b77628
131327c9cc769c
147a15801da36
153d16d6db622
hex208045d5dc0

2233456221632 has 112 divisors (see below), whose sum is σ = 4503989317632. Its totient is φ = 1098716451840.

The previous prime is 2233456221571. The next prime is 2233456221641. The reversal of 2233456221632 is 2361226543322.

It is a self number, because there is not a number n which added to its sum of digits gives 2233456221632.

It is a congruent number.

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, 2054696993 + ... + 2054698079.

It is an arithmetic number, because the mean of its divisors is an integer number (40214190336).

Almost surely, 22233456221632 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 2233456221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251994658816).

2233456221632 is an abundant number, since it is smaller than the sum of its proper divisors (2270533096000).

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

2233456221632 is a wasteful number, since it uses less digits than its factorization.

2233456221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2416 counting only the distinct ones).

The product of its digits is 622080, while the sum is 41.

The spelling of 2233456221632 in words is "two trillion, two hundred thirty-three billion, four hundred fifty-six million, two hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 166 332 613 631 664 1087 1226 1262 1328 2174 2452 2524 2656 4348 4904 5048 5312 8696 9808 10096 17392 19616 20192 34784 39232 40384 50879 52373 69568 90221 101758 104746 180442 203516 209492 360884 386803 407032 418984 666331 685897 721768 773606 814064 837968 1332662 1371794 1443536 1547212 1628128 1675936 2665324 2743588 2887072 3094424 3256256 3351872 5330648 5487176 5774144 6188848 10661296 10974352 12377696 21322592 21948704 24755392 32104649 42645184 43897408 55305473 56929451 64209298 110610946 113858902 128418596 221221892 227717804 256837192 420454861 442443784 455435608 513674384 840909722 884887568 910871216 1027348768 1681819444 1769775136 1821742432 2054697536 3363638888 3539550272 3643484864 6727277776 13454555552 26909111104 34897753463 69795506926 139591013852 279182027704 558364055408 1116728110816 2233456221632