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22334001100040 = 2357342672327729
BaseRepresentation
bin1010001010000000010100…
…01100111011010100001000
32221002002221221022020011102
411011000022030323110020
510411410013240200130
6115300033133520532
74463402240026010
oct505001214732410
987062857266142
1022334001100040
1171308844138a3
12260858b943148
13c601199570c6
14572d85816c40
1528ae5a53c645
hex14500a33b508

22334001100040 has 64 divisors (see below), whose sum is σ = 57431989180800. Its totient is φ = 7657145054208.

The previous prime is 22334001100009. The next prime is 22334001100069. The reversal of 22334001100040 is 4000110043322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22334001099985 and 22334001100021.

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, 8430896 + ... + 10758624.

It is an arithmetic number, because the mean of its divisors is an integer number (897374830950).

Almost surely, 222334001100040 is an apocalyptic number.

22334001100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22334001100040 is an abundant number, since it is smaller than the sum of its proper divisors (35097988080760).

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

22334001100040 is a wasteful number, since it uses less digits than its factorization.

22334001100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362014 (or 2362010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22334001100040 its reverse (4000110043322), we get a palindrome (26334111143362).

The spelling of 22334001100040 in words is "twenty-two trillion, three hundred thirty-four billion, one million, one hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 34267 68534 137068 171335 239869 274136 342670 479738 685340 959476 1199345 1370680 1918952 2327729 2398690 4655458 4797380 9310916 9594760 11638645 16294103 18621832 23277290 32588206 46554580 65176412 81470515 93109160 130352824 162941030 325882060 651764120 79764289643 159528579286 319057158572 398821448215 558350027501 638114317144 797642896430 1116700055002 1595285792860 2233400110004 2791750137505 3190571585720 4466800220008 5583500275010 11167000550020 22334001100040