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215228016 = 2435197281
BaseRepresentation
bin11001101010000…
…01111001110000
3112222222201100000
430311001321300
5420044244031
633205030000
75222256633
oct1465017160
9488881300
10215228016
11100543aa3
12600b5300
1335789673
1420827c1a
1513d663e6
hexcd41e70

215228016 has 120 divisors (see below), whose sum is σ = 630053424. Its totient is φ = 71124480.

The previous prime is 215228011. The next prime is 215228023. The reversal of 215228016 is 610822512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215228011) by changing a digit.

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, 765796 + ... + 766076.

Almost surely, 2215228016 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 215228016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315026712).

215228016 is an abundant number, since it is smaller than the sum of its proper divisors (414825408).

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

215228016 is a wasteful number, since it uses less digits than its factorization.

215228016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 483 counting only the distinct ones).

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

The square root of 215228016 is about 14670.6515192748. The cubic root of 215228016 is about 599.2843467401.

The spelling of 215228016 in words is "two hundred fifteen million, two hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 197 216 243 281 324 394 432 486 562 591 648 788 843 972 1124 1182 1296 1576 1686 1773 1944 2248 2364 2529 3152 3372 3546 3888 4496 4728 5058 5319 6744 7092 7587 9456 10116 10638 13488 14184 15174 15957 20232 21276 22761 28368 30348 31914 40464 42552 45522 47871 55357 60696 63828 68283 85104 91044 95742 110714 121392 127656 136566 166071 182088 191484 221428 255312 273132 332142 364176 382968 442856 498213 546264 664284 765936 885712 996426 1092528 1328568 1494639 1992852 2657136 2989278 3985704 4483917 5978556 7971408 8967834 11957112 13451751 17935668 23914224 26903502 35871336 53807004 71742672 107614008 215228016