Search a number
-
+
233132471220 = 2235113361105097
BaseRepresentation
bin1101100100011111000…
…1110011001110110100
3211021202101212121120010
43121013301303032310
512304423403034340
6255033301540220
722562145211005
oct3310761631664
9737671777503
10233132471220
118a964225220
1239223714670
1318ca466b02c
14b3d85771ac
1560e70acb80
hex3647c733b4

233132471220 has 96 divisors (see below), whose sum is σ = 712332383616. Its totient is φ = 56499609600.

The previous prime is 233132471213. The next prime is 233132471227. The reversal of 233132471220 is 22174231332.

It is an interprime number because it is at equal distance from previous prime (233132471213) and next prime (233132471227).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233132471227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165712 + ... + 2270808.

It is an arithmetic number, because the mean of its divisors is an integer number (7420128996).

Almost surely, 2233132471220 is an apocalyptic number.

233132471220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233132471220 is an abundant number, since it is smaller than the sum of its proper divisors (479199912396).

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

233132471220 is a wasteful number, since it uses less digits than its factorization.

233132471220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108481 (or 108479 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 233132471220 in words is "two hundred thirty-three billion, one hundred thirty-two million, four hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3361 6722 10083 13444 16805 20166 33610 36971 40332 50415 67220 73942 100830 105097 110913 147884 184855 201660 210194 221826 315291 369710 420388 443652 525485 554565 630582 739420 1050970 1109130 1156067 1261164 1576455 2101940 2218260 2312134 3152910 3468201 4624268 5780335 6305820 6936402 11560670 13872804 17341005 23121340 34682010 69364020 353231017 706462034 1059693051 1412924068 1766155085 2119386102 3532310170 3885541187 4238772204 5298465255 7064620340 7771082374 10596930510 11656623561 15542164748 19427705935 21193861020 23313247122 38855411870 46626494244 58283117805 77710823740 116566235610 233132471220