Search a number
-
+
48222216 = 2334710631
BaseRepresentation
bin1011011111110…
…1000000001000
310100201221110000
42313331000020
544321102331
64441323000
71123611360
oct267750010
9110657400
1048222216
1125247079
1214196460
139cb5173
1465939a0
1543780e6
hex2dfd008

48222216 has 80 divisors (see below), whose sum is σ = 154376640. Its totient is φ = 13776480.

The previous prime is 48222179. The next prime is 48222227. The reversal of 48222216 is 61222284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48222216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 780 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (1929708).

Almost surely, 248222216 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 48222216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77188320).

48222216 is an abundant number, since it is smaller than the sum of its proper divisors (106154424).

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

48222216 is a wasteful number, since it uses less digits than its factorization.

48222216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656 (or 10643 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 48222216 is about 6944.2217706522. The cubic root of 48222216 is about 363.9840793262.

The spelling of 48222216 in words is "forty-eight million, two hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 10631 21262 31893 42524 63786 74417 85048 95679 127572 148834 191358 223251 255144 287037 297668 382716 446502 574074 595336 669753 765432 861111 893004 1148148 1339506 1722222 1786008 2009259 2296296 2679012 3444444 4018518 5358024 6027777 6888888 8037036 12055554 16074072 24111108 48222216