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10812216 = 23319131181
BaseRepresentation
bin101001001111…
…101100111000
3202100022120110
4221033230320
510231442331
61023424320
7160621332
oct51175470
922308513
1010812216
116115418
1237550a0
13231747c
141616452
15e38946
hexa4fb38

10812216 has 64 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 3369600.

The previous prime is 10812203. The next prime is 10812227. The reversal of 10812216 is 61221801.

It is a junction number, because it is equal to n+sod(n) for n = 10812192 and 10812201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59646 + ... + 59826.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 210812216 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 10812216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

10812216 is an abundant number, since it is smaller than the sum of its proper divisors (18016584).

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

10812216 is a wasteful number, since it uses less digits than its factorization.

10812216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10812216 is about 3288.1934249676. The cubic root of 10812216 is about 221.1251994948.

The spelling of 10812216 in words is "ten million, eight hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 131 152 181 228 262 362 393 456 524 543 724 786 1048 1086 1448 1572 2172 2489 3144 3439 4344 4978 6878 7467 9956 10317 13756 14934 19912 20634 23711 27512 29868 41268 47422 59736 71133 82536 94844 142266 189688 284532 450509 569064 901018 1351527 1802036 2703054 3604072 5406108 10812216