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84334475220 = 223541131261697
BaseRepresentation
bin100111010001010111…
…0011111011111010100
322001200102012020012020
41032202232133133110
52340204111201340
6102424232253140
76043613132412
oct1164256373724
9261612166166
1084334475220
1132847681506
12144175411b0
137c50135258
1441206b82b2
1522d8cb29d0
hex13a2b9f7d4

84334475220 has 96 divisors (see below), whose sum is σ = 243743423616. Its totient is φ = 21773107200.

The previous prime is 84334475149. The next prime is 84334475221. The reversal of 84334475220 is 2257443348.

It is a super-2 number, since 2×843344752202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84334475221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191412 + ... + 453108.

It is an arithmetic number, because the mean of its divisors is an integer number (2538993996).

Almost surely, 284334475220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84334475220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121871711808).

84334475220 is an abundant number, since it is smaller than the sum of its proper divisors (159408948396).

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

84334475220 is a wasteful number, since it uses less digits than its factorization.

84334475220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261881 (or 261879 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 84334475220 in words is "eighty-four billion, three hundred thirty-four million, four hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 131 164 205 246 262 393 410 492 524 615 655 786 820 1230 1310 1572 1965 2460 2620 3930 5371 7860 10742 16113 21484 26855 32226 53710 64452 80565 107420 161130 261697 322260 523394 785091 1046788 1308485 1570182 2616970 3140364 3925455 5233940 7850910 10729577 15701820 21459154 32188731 34282307 42918308 53647885 64377462 68564614 102846921 107295770 128754924 137129228 160943655 171411535 205693842 214591540 321887310 342823070 411387684 514234605 643774620 685646140 1028469210 1405574587 2056938420 2811149174 4216723761 5622298348 7027872935 8433447522 14055745870 16866895044 21083618805 28111491740 42167237610 84334475220