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216980532 = 22351931379
BaseRepresentation
bin11001110111011…
…01110000110100
3120010021202100000
430323231300310
5421021334112
633310351300
75243206206
oct1473556064
9503252300
10216980532
1110153075a
12607bb530
1335c51262
1420b62776
15140b07dc
hexceedc34

216980532 has 144 divisors (see below), whose sum is σ = 619673600. Its totient is φ = 66134880.

The previous prime is 216980497. The next prime is 216980567. The reversal of 216980532 is 235089612.

It is an interprime number because it is at equal distance from previous prime (216980497) and next prime (216980567).

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 47 ways as a sum of consecutive naturals, for example, 572319 + ... + 572697.

Almost surely, 2216980532 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 216980532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309836800).

216980532 is an abundant number, since it is smaller than the sum of its proper divisors (402693068).

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

216980532 is a wasteful number, since it uses less digits than its factorization.

216980532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 216980532 is about 14730.2590608584. The cubic root of 216980532 is about 600.9065296502.

The spelling of 216980532 in words is "two hundred sixteen million, nine hundred eighty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 243 279 324 342 372 379 486 513 558 589 684 758 837 972 1026 1116 1137 1178 1516 1539 1674 1767 2052 2274 2356 2511 3078 3348 3411 3534 4548 4617 5022 5301 6156 6822 7068 7201 7533 9234 10044 10233 10602 11749 13644 14402 15066 15903 18468 20466 21204 21603 23498 28804 30132 30699 31806 35247 40932 43206 46996 47709 61398 63612 64809 70494 86412 92097 95418 105741 122796 129618 140988 143127 184194 190836 194427 211482 223231 259236 286254 317223 368388 388854 422964 446462 572508 583281 634446 669693 777708 892924 951669 1166562 1268892 1339386 1749843 1903338 2009079 2333124 2678772 2855007 3499686 3806676 4018158 5710014 6027237 6999372 8036316 11420028 12054474 18081711 24108948 36163422 54245133 72326844 108490266 216980532