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2247291216 = 243764223
BaseRepresentation
bin1000010111110010…
…1111000101010000
312210121200020000000
42011330233011100
514100301304331
61010555130000
7106455442302
oct20574570520
95717606000
102247291216
11a535a0175
12528743900
1329a77bb21
1417466b972
15d245e0e6
hex85f2f150

2247291216 has 80 divisors (see below), whose sum is σ = 6530296320. Its totient is φ = 749085408.

The previous prime is 2247291209. The next prime is 2247291227. The reversal of 2247291216 is 6121927422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881 + ... + 67103.

It is an arithmetic number, because the mean of its divisors is an integer number (81628704).

Almost surely, 22247291216 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 2247291216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265148160).

2247291216 is an abundant number, since it is smaller than the sum of its proper divisors (4283005104).

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

2247291216 is an frugal number, since it uses more digits than its factorization.

2247291216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64252 (or 64228 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2247291216 is about 47405.6032131224. The cubic root of 2247291216 is about 1309.8446324296.

The spelling of 2247291216 in words is "two billion, two hundred forty-seven million, two hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 17496 34992 64223 128446 192669 256892 385338 513784 578007 770676 1027568 1156014 1541352 1734021 2312028 3082704 3468042 4624056 5202063 6936084 9248112 10404126 13872168 15606189 20808252 27744336 31212378 41616504 46818567 62424756 83233008 93637134 124849512 140455701 187274268 249699024 280911402 374548536 561822804 749097072 1123645608 2247291216