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2269216404 = 2233713217761
BaseRepresentation
bin1000011101000001…
…0111111010010100
312212010221010201000
42013100113322110
514121404411104
61013101103300
7110143010160
oct20720277224
95763833630
102269216404
11a64a05964
12533b57b30
132a2187600
14177537ca0
15d4340639
hex87417e94

2269216404 has 144 divisors (see below), whose sum is σ = 7280999040. Its totient is φ = 598440960.

The previous prime is 2269216307. The next prime is 2269216421. The reversal of 2269216404 is 4046129622.

2269216404 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 2 + 1 + 640 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 118884 + ... + 136644.

Almost surely, 22269216404 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 2269216404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640499520).

2269216404 is an abundant number, since it is smaller than the sum of its proper divisors (5011782636).

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

2269216404 is a wasteful number, since it uses less digits than its factorization.

2269216404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17786 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2269216404 is about 47636.2929288164. The cubic root of 2269216404 is about 1314.0905881960.

The spelling of 2269216404 in words is "two billion, two hundred sixty-nine million, two hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 169 182 189 234 252 273 338 351 364 378 468 507 546 676 702 756 819 1014 1092 1183 1404 1521 1638 2028 2366 2457 3042 3276 3549 4563 4732 4914 6084 7098 9126 9828 10647 14196 17761 18252 21294 31941 35522 42588 53283 63882 71044 106566 124327 127764 159849 213132 230893 248654 319698 372981 461786 479547 497308 639396 692679 745962 923572 959094 1118943 1385358 1491924 1616251 1918188 2078037 2237886 2770716 3001609 3232502 3356829 4156074 4475772 4848753 6003218 6234111 6465004 6713658 8312148 9004827 9697506 12006436 12468222 13427316 14546259 18009654 19395012 21011263 24936444 27014481 29092518 36019308 42022526 43638777 54028962 58185036 63033789 81043443 84045052 87277554 108057924 126067578 162086886 174555108 189101367 252135156 324173772 378202734 567304101 756405468 1134608202 2269216404