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2211106896 = 24348272063
BaseRepresentation
bin1000001111001010…
…1101000001010000
312201002120212110000
42003302231001100
514012020410041
61003223410000
7105536045535
oct20362550120
95632525400
102211106896
11a35126379
125185b3900
1329311cc9b
1416d92cd8c
15ce1b2bb6
hex83cad050

2211106896 has 100 divisors (see below), whose sum is σ = 6410428992. Its totient is φ = 735787584.

The previous prime is 2211106867. The next prime is 2211106901. The reversal of 2211106896 is 6986011122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2211106896.

It is a congruent number.

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, 1070761 + ... + 1072823.

Almost surely, 22211106896 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 2211106896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205214496).

2211106896 is an abundant number, since it is smaller than the sum of its proper divisors (4199322096).

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

2211106896 is a wasteful number, since it uses less digits than its factorization.

2211106896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2211106896 is about 47022.4084453359. The cubic root of 2211106896 is about 1302.7764910997.

The spelling of 2211106896 in words is "two billion, two hundred eleven million, one hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 827 1296 1654 2063 2481 3308 4126 4962 6189 6616 7443 8252 9924 12378 13232 14886 16504 18567 19848 22329 24756 29772 33008 37134 39696 44658 49512 55701 59544 66987 74268 89316 99024 111402 119088 133974 148536 167103 178632 222804 267948 297072 334206 357264 445608 535896 668412 891216 1071792 1336824 1706101 2673648 3412202 5118303 6824404 10236606 13648808 15354909 20473212 27297616 30709818 40946424 46064727 61419636 81892848 92129454 122839272 138194181 184258908 245678544 276388362 368517816 552776724 737035632 1105553448 2211106896