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20022311144400 = 24352101165200587
BaseRepresentation
bin1001000110101110011101…
…01111100100101111010000
32121220010002021211002000020
410203113032233210233100
510111021143123110100
6110330042303223440
74134364351434045
oct443271657445720
977803067732006
1020022311144400
11641a46172a054
1222b455b5a7b80
13b23132736226
144d31294731cc
1524ac5d9755a0
hex1235cebe4bd0

20022311144400 has 120 divisors (see below), whose sum is σ = 64773168147744. Its totient is φ = 5286418752000.

The previous prime is 20022311144393. The next prime is 20022311144411. The reversal of 20022311144400 is 444111322002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82479094 + ... + 82721493.

Almost surely, 220022311144400 is an apocalyptic number.

20022311144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022311144400 is an abundant number, since it is smaller than the sum of its proper divisors (44750857003344).

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

20022311144400 is a wasteful number, since it uses less digits than its factorization.

20022311144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165200709 (or 165200698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20022311144400 its reverse (444111322002), we get a palindrome (20466422466402).

The spelling of 20022311144400 in words is "twenty trillion, twenty-two billion, three hundred eleven million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 150 200 202 240 300 303 400 404 505 600 606 808 1010 1200 1212 1515 1616 2020 2424 2525 3030 4040 4848 5050 6060 7575 8080 10100 12120 15150 20200 24240 30300 40400 60600 121200 165200587 330401174 495601761 660802348 826002935 991203522 1321604696 1652005870 1982407044 2478008805 2643209392 3304011740 3964814088 4130014675 4956017610 6608023480 7929628176 8260029350 9912035220 12390044025 13216046960 16520058700 16685259287 19824070440 24780088050 33040117400 33370518574 39648140880 49560176100 50055777861 66080234800 66741037148 83426296435 99120352200 100111555722 133482074296 166852592870 198240704400 200223111444 250278889305 266964148592 333705185740 400446222888 417131482175 500557778610 667410371480 800892445776 834262964350 1001115557220 1251394446525 1334820742960 1668525928700 2002231114440 2502788893050 3337051857400 4004462228880 5005577786100 6674103714800 10011155572200 20022311144400