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216473088 = 2931337293
BaseRepresentation
bin11001110011100…
…01111000000000
3120002022222020210
430321301320000
5420404114323
633251434120
75235663606
oct1471617000
9502288223
10216473088
11101214487
12605b5940
1335b042b0
1420a6d876
1514010293
hexce71e00

216473088 has 160 divisors (see below), whose sum is σ = 640021536. Its totient is φ = 64585728.

The previous prime is 216473021. The next prime is 216473111. The reversal of 216473088 is 880374612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

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, 738670 + ... + 738962.

Almost surely, 2216473088 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 216473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320010768).

216473088 is an abundant number, since it is smaller than the sum of its proper divisors (423548448).

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

216473088 is a wasteful number, since it uses less digits than its factorization.

216473088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 216473088 is about 14713.0244341536. The cubic root of 216473088 is about 600.4377250281.

The spelling of 216473088 in words is "two hundred sixteen million, four hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 293 296 312 384 416 444 481 512 586 592 624 768 832 879 888 962 1172 1184 1248 1443 1536 1664 1758 1776 1924 2344 2368 2496 2886 3328 3516 3552 3809 3848 4688 4736 4992 5772 6656 7032 7104 7618 7696 9376 9472 9984 10841 11427 11544 14064 14208 15236 15392 18752 18944 19968 21682 22854 23088 28128 28416 30472 30784 32523 37504 43364 45708 46176 56256 56832 60944 61568 65046 75008 86728 91416 92352 112512 121888 123136 130092 140933 150016 173456 182832 184704 225024 243776 246272 260184 281866 346912 365664 369408 422799 450048 487552 520368 563732 693824 731328 738816 845598 975104 1040736 1127464 1387648 1462656 1691196 1950208 2081472 2254928 2775296 2925312 3382392 4162944 4509856 5550592 5850624 6764784 8325888 9019712 13529568 16651776 18039424 27059136 36078848 54118272 72157696 108236544 216473088