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36214224340 = 2257378638101
BaseRepresentation
bin100001101110100010…
…010011010111010100
310110110211110012121011
4201232202103113110
51043131320134330
624345300302004
72421264553660
oct415642232724
9113424405534
1036214224340
11143a3a92828
1270280a1904
133551958718
141a7789d8a0
15e1e47a82a
hex86e8935d4

36214224340 has 96 divisors (see below), whose sum is σ = 89377634304. Its totient is φ = 12065241600.

The previous prime is 36214224311. The next prime is 36214224341. The reversal of 36214224340 is 4342241263.

It is a super-3 number, since 3×362142243403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36214224341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4466290 + ... + 4474390.

It is an arithmetic number, because the mean of its divisors is an integer number (931017024).

Almost surely, 236214224340 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 36214224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44688817152).

36214224340 is an abundant number, since it is smaller than the sum of its proper divisors (53163409964).

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

36214224340 is a wasteful number, since it uses less digits than its factorization.

36214224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 36214224340 in words is "thirty-six billion, two hundred fourteen million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 863 1036 1295 1726 2590 3452 4315 5180 6041 8101 8630 12082 16202 17260 24164 30205 31931 32404 40505 56707 60410 63862 81010 113414 120820 127724 159655 162020 223517 226828 283535 299737 319310 447034 567070 599474 638620 894068 1117585 1134140 1198948 1498685 2098159 2235170 2997370 4196318 4470340 5994740 6991163 8392636 10490795 13982326 20981590 27964652 34955815 41963180 48938141 69911630 97876282 139823260 195752564 244690705 258673031 489381410 517346062 978762820 1034692124 1293365155 1810711217 2586730310 3621422434 5173460620 7242844868 9053556085 18107112170 36214224340