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228087216 = 24327713187
BaseRepresentation
bin11011001100001…
…01010110110000
3120220012000211200
431212011112300
5431342242331
634344411200
75436465210
oct1546052660
9526160750
10228087216
11107827335
1264476b00
133833c766
1422414240
15150565e6
hexd9855b0

228087216 has 120 divisors (see below), whose sum is σ = 740024064. Its totient is φ = 64229760.

The previous prime is 228087173. The next prime is 228087221. The reversal of 228087216 is 612780822.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69975 + ... + 73161.

Almost surely, 2228087216 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 228087216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370012032).

228087216 is an abundant number, since it is smaller than the sum of its proper divisors (511936848).

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

228087216 is a wasteful number, since it uses less digits than its factorization.

228087216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 228087216 is about 15102.5566047607. The cubic root of 228087216 is about 610.9893610704.

The spelling of 228087216 in words is "two hundred twenty-eight million, eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3187 3408 3976 4473 5112 5964 6374 7952 8946 9561 10224 11928 12748 17892 19122 22309 23856 25496 28683 35784 38244 44618 50992 57366 66927 71568 76488 89236 114732 133854 152976 178472 200781 226277 229464 267708 356944 401562 452554 458928 535416 678831 803124 905108 1070832 1357662 1583939 1606248 1810216 2036493 2715324 3167878 3212496 3620432 4072986 4751817 5430648 6335756 8145972 9503634 10861296 12671512 14255451 16291944 19007268 25343024 28510902 32583888 38014536 57021804 76029072 114043608 228087216