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32212231020 = 223251989105829
BaseRepresentation
bin11101111111111111…
…111010001101101100
310002010220222212211100
4131333333322031230
51011432312343040
622444215523100
72220151305654
oct357777721554
9102126885740
1032212231020
111272aa67a32
1262ab989490
1330647b9938
1417b818b364
15c87e5eb30
hex77fffa36c

32212231020 has 144 divisors (see below), whose sum is σ = 104009724000. Its totient is φ = 8046314496.

The previous prime is 32212231019. The next prime is 32212231151. The reversal of 32212231020 is 2013221223.

32212231020 is a `hidden beast` number, since 322 + 12 + 2 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32212230984 and 32212231002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251466 + ... + 357294.

It is an arithmetic number, because the mean of its divisors is an integer number (722289750).

Almost surely, 232212231020 is an apocalyptic number.

32212231020 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 32212231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52004862000).

32212231020 is an abundant number, since it is smaller than the sum of its proper divisors (71797492980).

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

32212231020 is a wasteful number, since it uses less digits than its factorization.

32212231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105952 (or 105947 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32212231020 its reverse (2013221223), we get a palindrome (34225452243).

The spelling of 32212231020 in words is "thirty-two billion, two hundred twelve million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 89 90 95 114 171 178 180 190 228 267 285 342 356 380 445 534 570 684 801 855 890 1068 1140 1335 1602 1691 1710 1780 2670 3204 3382 3420 4005 5073 5340 6764 8010 8455 10146 15219 16020 16910 20292 25365 30438 33820 50730 60876 76095 101460 105829 152190 211658 304380 317487 423316 529145 634974 952461 1058290 1269948 1587435 1904922 2010751 2116580 3174870 3809844 4021502 4762305 6032253 6349740 8043004 9418781 9524610 10053755 12064506 18096759 18837562 19049220 20107510 24129012 28256343 30161265 36193518 37675124 40215020 47093905 56512686 60322530 72387036 84769029 90483795 94187810 113025372 120645060 141281715 169538058 178956839 180967590 188375620 282563430 339076116 357913678 361935180 423845145 536870517 565126860 715827356 847690290 894784195 1073741034 1610611551 1695380580 1789568390 2147482068 2684352585 3221223102 3579136780 5368705170 6442446204 8053057755 10737410340 16106115510 32212231020