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216029328 = 24331413541
BaseRepresentation
bin11001110000001…
…01100010010000
3120001111102112020
430320011202100
5420300414303
633234131440
75232135054
oct1470054220
9501442466
10216029328
11100a41039
1260420b80
13359aa308
1420995c64
1513e73a53
hexce05890

216029328 has 80 divisors (see below), whose sum is σ = 590295552. Its totient is φ = 67968000.

The previous prime is 216029321. The next prime is 216029399. The reversal of 216029328 is 823920612.

It is a happy number.

It is a super-2 number, since 2×2160293282 = 93337341112263168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (216029321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59238 + ... + 62778.

Almost surely, 2216029328 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 216029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295147776).

216029328 is an abundant number, since it is smaller than the sum of its proper divisors (374266224).

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

216029328 is a wasteful number, since it uses less digits than its factorization.

216029328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 216029328 is about 14697.9361816549. The cubic root of 216029328 is about 600.0271543266.

The spelling of 216029328 in words is "two hundred sixteen million, twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1968 2542 3541 3813 5084 7082 7626 10168 10623 14164 15252 20336 21246 28328 30504 42492 56656 61008 84984 109771 145181 169968 219542 290362 329313 435543 439084 580724 658626 871086 878168 1161448 1317252 1742172 1756336 2322896 2634504 3484344 4500611 5269008 6968688 9001222 13501833 18002444 27003666 36004888 54007332 72009776 108014664 216029328