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216501480 = 233251346261
BaseRepresentation
bin11001110011110…
…00110011101000
3120002101102012100
430321320303220
5420411021410
633252213400
75236142436
oct1471706350
9502342170
10216501480
11101233848
126060a260
1335b141b0
1420a79d56
15140188c0
hexce78ce8

216501480 has 96 divisors (see below), whose sum is σ = 757771560. Its totient is φ = 53291520.

The previous prime is 216501457. The next prime is 216501487. The reversal of 216501480 is 84105612.

216501480 is a `hidden beast` number, since 2 + 1 + 650 + 1 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198302724 + 18198756 = 14082^2 + 4266^2 .

It is not an unprimeable number, because it can be changed into a prime (216501487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18451 + ... + 27810.

Almost surely, 2216501480 is an apocalyptic number.

216501480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216501480 is an abundant number, since it is smaller than the sum of its proper divisors (541270080).

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

216501480 is a wasteful number, since it uses less digits than its factorization.

216501480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46291 (or 46284 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 216501480 is about 14713.9892619235. The cubic root of 216501480 is about 600.4639744537.

The spelling of 216501480 in words is "two hundred sixteen million, five hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 46261 92522 138783 185044 231305 277566 370088 416349 462610 555132 601393 693915 832698 925220 1110264 1202786 1387830 1665396 1804179 1850440 2081745 2405572 2775660 3006965 3330792 3608358 4163490 4811144 5412537 5551320 6013930 7216716 8326980 9020895 10825074 12027860 14433432 16653960 18041790 21650148 24055720 27062685 36083580 43300296 54125370 72167160 108250740 216501480