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216940752 = 24327832593
BaseRepresentation
bin11001110111001…
…00000011010000
3120010012201202200
430323210003100
5421014101002
633305443200
75242652220
oct1473440320
9503181680
10216940752
11101503886
12607a0500
1335c39112
1420b52080
15140a3b1c
hexcee40d0

216940752 has 120 divisors (see below), whose sum is σ = 702496704. Its totient is φ = 61212672.

The previous prime is 216940741. The next prime is 216940771. The reversal of 216940752 is 257049612.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82368 + ... + 84960.

Almost surely, 2216940752 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 216940752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351248352).

216940752 is an abundant number, since it is smaller than the sum of its proper divisors (485555952).

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

216940752 is a wasteful number, since it uses less digits than its factorization.

216940752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 216940752 is about 14728.9087172132. The cubic root of 216940752 is about 600.8698051224.

The spelling of 216940752 in words is "two hundred sixteen million, nine hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2593 2988 3486 3984 4648 5186 5229 5976 6972 7779 9296 10372 10458 11952 13944 15558 18151 20744 20916 23337 27888 31116 36302 41488 41832 46674 54453 62232 72604 83664 93348 108906 124464 145208 163359 186696 215219 217812 290416 326718 373392 430438 435624 645657 653436 860876 871248 1291314 1306872 1506533 1721752 1936971 2582628 2613744 3013066 3443504 3873942 4519599 5165256 6026132 7747884 9039198 10330512 12052264 13558797 15495768 18078396 24104528 27117594 30991536 36156792 54235188 72313584 108470376 216940752