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2235414770072 = 2311213916613761
BaseRepresentation
bin100000100001111001000…
…110100111000110011000
321220200222220021020222022
4200201321012213012120
5243111112140120242
64430534012314012
7320334443014421
oct40417106470630
97820886236868
102235414770072
117920413a6a00
123012a3a72908
13132a4c9ba5a3
147a2a21a8648
153d2356120d2
hex208791a7198

2235414770072 has 48 divisors (see below), whose sum is σ = 4640223726600. Its totient is φ = 1008787507200.

The previous prime is 2235414770033. The next prime is 2235414770117. The reversal of 2235414770072 is 2700774145322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8172329 + ... + 8441432.

Almost surely, 22235414770072 is an apocalyptic number.

2235414770072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2235414770072 is an abundant number, since it is smaller than the sum of its proper divisors (2404808956528).

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

2235414770072 is a wasteful number, since it uses less digits than its factorization.

2235414770072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613928 (or 16613913 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 2235414770072 in words is "two trillion, two hundred thirty-five billion, four hundred fourteen million, seven hundred seventy thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 139 242 278 484 556 968 1112 1529 3058 6116 12232 16819 33638 67276 134552 16613761 33227522 66455044 132910088 182751371 365502742 731005484 1462010968 2010265081 2309312779 4020530162 4618625558 8041060324 9237251116 16082120648 18474502232 25402440569 50804881138 101609762276 203219524552 279426846259 558853692518 1117707385036 2235414770072