Search a number
-
+
2197914912 = 25346113901
BaseRepresentation
bin1000001100000001…
…1000010100100000
312200011202122110000
42003000120110200
514000131234122
61002032540000
7105315653124
oct20300302440
95604678400
102197914912
11a28736006
125140b1600
1329048158b
1416bc97584
15cce590ac
hex83018520

2197914912 has 120 divisors (see below), whose sum is σ = 6570446652. Its totient is φ = 720576000.

The previous prime is 2197914907. The next prime is 2197914919. The reversal of 2197914912 is 2194197912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2160018576 + 37896336 = 46476^2 + 6156^2 .

It is not an unprimeable number, because it can be changed into a prime (2197914919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151162 + ... + 165062.

Almost surely, 22197914912 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 2197914912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285223326).

2197914912 is an abundant number, since it is smaller than the sum of its proper divisors (4372531740).

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

2197914912 is a wasteful number, since it uses less digits than its factorization.

2197914912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13984 (or 13967 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 2197914912 is about 46881.9252164414. The cubic root of 2197914912 is about 1300.1804309721.

The spelling of 2197914912 in words is "two billion, one hundred ninety-seven million, nine hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 432 488 549 648 732 864 976 1098 1296 1464 1647 1952 2196 2592 2928 3294 4392 4941 5856 6588 8784 9882 13176 13901 17568 19764 26352 27802 39528 41703 52704 55604 79056 83406 111208 125109 158112 166812 222416 250218 333624 375327 444832 500436 667248 750654 847961 1000872 1125981 1334496 1501308 1695922 2001744 2251962 2543883 3002616 3391844 4003488 4503924 5087766 6005232 6783688 7631649 9007848 10175532 12010464 13567376 15263298 18015696 20351064 22894947 27134752 30526596 36031392 40702128 45789894 61053192 68684841 81404256 91579788 122106384 137369682 183159576 244212768 274739364 366319152 549478728 732638304 1098957456 2197914912