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215281980 = 223253141941
BaseRepresentation
bin11001101010011…
…11000100111100
3120000002110100200
430311033010330
5420103010410
633210123500
75222603154
oct1465170474
9500073320
10215281980
111005805a1
1260120590
13357a80b4
142083d764
1513d773c0
hexcd4f13c

215281980 has 144 divisors (see below), whose sum is σ = 691262208. Its totient is φ = 54144000.

The previous prime is 215281933. The next prime is 215281987. The reversal of 215281980 is 89182512.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215281987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228310 + ... + 229250.

It is an arithmetic number, because the mean of its divisors is an integer number (4800432).

Almost surely, 2215281980 is an apocalyptic number.

215281980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215281980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345631104).

215281980 is an abundant number, since it is smaller than the sum of its proper divisors (475980228).

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

215281980 is a wasteful number, since it uses less digits than its factorization.

215281980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 215281980 is about 14672.4905861275. The cubic root of 215281980 is about 599.3344286309.

The spelling of 215281980 in words is "two hundred fifteen million, two hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 930 941 1116 1230 1271 1395 1476 1845 1860 1882 2460 2542 2790 2823 3690 3764 3813 4705 5084 5580 5646 6355 7380 7626 8469 9410 11292 11439 12710 14115 15252 16938 18820 19065 22878 25420 28230 29171 33876 38130 38581 42345 45756 56460 57195 58342 76260 77162 84690 87513 114390 115743 116684 145855 154324 169380 175026 192905 228780 231486 262539 291710 347229 350052 385810 437565 462972 525078 578715 583420 694458 771620 875130 1050156 1157430 1196011 1312695 1388916 1736145 1750260 2314860 2392022 2625390 3472290 3588033 4784044 5250780 5980055 6944580 7176066 10764099 11960110 14352132 17940165 21528198 23920220 35880330 43056396 53820495 71760660 107640990 215281980