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334554220020 = 223589101620303
BaseRepresentation
bin1001101111001001111…
…11000100010111110100
31011222112122210021111210
410313210333010113310
520440131340020040
6413405254001420
733112364643516
oct4674477042764
91158478707453
10334554220020
1111997a154229
1254a09646270
13257188a2647
141229a36bbb6
158a81036480
hex4de4fc45f4

334554220020 has 96 divisors (see below), whose sum is σ = 956657640960. Its totient is φ = 87338521600.

The previous prime is 334554219953. The next prime is 334554220073. The reversal of 334554220020 is 20022455433.

It is a super-2 number, since 2×3345542200202 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 334554220020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229189 + ... + 849491.

It is an arithmetic number, because the mean of its divisors is an integer number (9965183760).

Almost surely, 2334554220020 is an apocalyptic number.

334554220020 is a gapful number since it is divisible by the number (30) 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 334554220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478328820480).

334554220020 is an abundant number, since it is smaller than the sum of its proper divisors (622103420940).

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

334554220020 is a wasteful number, since it uses less digits than its factorization.

334554220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620505 (or 620503 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 334554220020 its reverse (20022455433), we get a palindrome (354576675453).

The spelling of 334554220020 in words is "three hundred thirty-four billion, five hundred fifty-four million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 101 178 202 267 303 356 404 445 505 534 606 890 1010 1068 1212 1335 1515 1780 2020 2670 3030 5340 6060 8989 17978 26967 35956 44945 53934 89890 107868 134835 179780 269670 539340 620303 1240606 1860909 2481212 3101515 3721818 6203030 7443636 9304545 12406060 18609090 37218180 55206967 62650603 110413934 125301206 165620901 187951809 220827868 250602412 276034835 313253015 331241802 375903618 552069670 626506030 662483604 751807236 828104505 939759045 1104139340 1253012060 1656209010 1879518090 3312418020 3759036180 5575903667 11151807334 16727711001 22303614668 27879518335 33455422002 55759036670 66910844004 83638555005 111518073340 167277110010 334554220020