Search a number
-
+
2233322022032 = 242931626924767
BaseRepresentation
bin100000011111111100010…
…111011010010010010000
321220111121001101122100122
4200133330113122102100
5243042320414201112
64425550213405412
7320231541653243
oct40377427322220
97814531348318
102233322022032
11791168071372
123009bb039868
131327a826b53a
147a14428925a
153d161a2d872
hex207fc5da490

2233322022032 has 80 divisors (see below), whose sum is σ = 4621589913600. Its totient is φ = 1043167695360.

The previous prime is 2233322022011. The next prime is 2233322022059. The reversal of 2233322022032 is 2302202233322.

It is a junction number, because it is equal to n+sod(n) for n = 2233322021992 and 2233322022010.

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, 90160913 + ... + 90185679.

It is an arithmetic number, because the mean of its divisors is an integer number (57769873920).

Almost surely, 22233322022032 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 2233322022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310794956800).

2233322022032 is an abundant number, since it is smaller than the sum of its proper divisors (2388267891568).

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

2233322022032 is a wasteful number, since it uses less digits than its factorization.

2233322022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31104 (or 31098 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 2233322022032 its reverse (2302202233322), we get a palindrome (4535524255354).

The spelling of 2233322022032 in words is "two trillion, two hundred thirty-three billion, three hundred twenty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 6269 7192 12538 14384 24767 25076 49534 50152 99068 100304 181801 194339 198136 363602 388678 396272 718243 727204 767777 777356 1436486 1454408 1535554 1554712 2872972 2908816 3071108 3109424 5635831 5745944 6142216 11271662 11491888 12284432 22265533 22543324 44531066 45086648 89062132 90173296 155264323 178124264 310528646 356248528 621057292 1242114584 2484229168 4502665367 4813194013 9005330734 9626388026 18010661468 19252776052 36021322936 38505552104 72042645872 77011104208 139582626377 279165252754 558330505508 1116661011016 2233322022032