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2097867216 = 243193174203
BaseRepresentation
bin111110100001010…
…1110100111010000
312102012111200210210
41331002232213100
513244023222331
6544100324120
7102662401644
oct17502564720
95365450723
102097867216
11987211765
124a66a3640
13275822163
1415c892c24
15c4295446
hex7d0ae9d0

2097867216 has 80 divisors (see below), whose sum is σ = 5888829440. Its totient is φ = 641105280.

The previous prime is 2097867203. The next prime is 2097867227. The reversal of 2097867216 is 6127687902.

2097867216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8830 + ... + 65373.

It is an arithmetic number, because the mean of its divisors is an integer number (73610368).

Almost surely, 22097867216 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 2097867216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944414720).

2097867216 is an abundant number, since it is smaller than the sum of its proper divisors (3790962224).

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

2097867216 is a wasteful number, since it uses less digits than its factorization.

2097867216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74264 (or 74258 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2097867216 is about 45802.4804568486. The cubic root of 2097867216 is about 1280.1454945291.

The spelling of 2097867216 in words is "two billion, ninety-seven million, eight hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 14136 28272 74203 148406 222609 296812 445218 593624 890436 1187248 1409857 1780872 2300293 2819714 3561744 4229571 4600586 5639428 6900879 8459142 9201172 11278856 13801758 16918284 18402344 22557712 27603516 33836568 36804688 43705567 55207032 67673136 87411134 110414064 131116701 174822268 262233402 349644536 524466804 699289072 1048933608 2097867216