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21022232204000 = 255347931096507
BaseRepresentation
bin1001100011110100111101…
…01011101101001011100000
32202102201001111200220121202
410301322132223231023200
510223412012421012000
6112413251413540332
74266543340262126
oct461723653551340
982381044626552
1021022232204000
11677552a037945
1224362bb0446a8
13b96507552a71
145296a520b916
15266c832e6dd5
hex131e9eaed2e0

21022232204000 has 96 divisors (see below), whose sum is σ = 51662448111456. Its totient is φ = 8407130803200.

The previous prime is 21022232203909. The next prime is 21022232204009. The reversal of 21022232204000 is 40223222012.

It is a super-3 number, since 3×210222322040003 (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022232204009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18623747 + ... + 19720253.

It is an arithmetic number, because the mean of its divisors is an integer number (538150501161).

Almost surely, 221022232204000 is an apocalyptic number.

21022232204000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022232204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831224055728).

21022232204000 is an abundant number, since it is smaller than the sum of its proper divisors (30640215907456).

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

21022232204000 is a wasteful number, since it uses less digits than its factorization.

21022232204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101325 (or 1101307 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21022232204000 its reverse (40223222012), we get a palindrome (21062455426012).

The spelling of 21022232204000 in words is "twenty-one trillion, twenty-two billion, two hundred thirty-two million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4793 9586 19172 23965 38344 47930 76688 95860 119825 153376 191720 239650 383440 479300 599125 766880 958600 1096507 1198250 1917200 2193014 2396500 3834400 4386028 4793000 5482535 8772056 9586000 10965070 17544112 19172000 21930140 27412675 35088224 43860280 54825350 87720560 109650700 137063375 175441120 219301400 274126750 438602800 548253500 877205600 1096507000 2193014000 4386028000 5255558051 10511116102 21022232204 26277790255 42044464408 52555580510 84088928816 105111161020 131388951275 168177857632 210222322040 262777902550 420444644080 525555805100 656944756375 840889288160 1051111610200 1313889512750 2102223220400 2627779025500 4204446440800 5255558051000 10511116102000 21022232204000