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216231960 = 23357475477
BaseRepresentation
bin11001110001101…
…11000000011000
3120001212201111010
430320313000120
5420323410320
633242333520
75233640610
oct1470670030
9501781433
10216231960
1110106a2aa
12604ba2a0
1335a4b609
1420a09a40
1513eb3ae0
hexce37018

216231960 has 128 divisors (see below), whose sum is σ = 757278720. Its totient is φ = 48364032.

The previous prime is 216231943. The next prime is 216231971. The reversal of 216231960 is 69132612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36742 + ... + 42218.

It is an arithmetic number, because the mean of its divisors is an integer number (5916240).

Almost surely, 2216231960 is an apocalyptic number.

216231960 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 216231960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378639360).

216231960 is an abundant number, since it is smaller than the sum of its proper divisors (541046760).

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

216231960 is a wasteful number, since it uses less digits than its factorization.

216231960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 216231960 is about 14704.8277786583. The cubic root of 216231960 is about 600.2147009411.

The spelling of 216231960 in words is "two hundred sixteen million, two hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5477 5640 6580 7896 9870 10954 13160 16431 19740 21908 27385 32862 38339 39480 43816 54770 65724 76678 82155 109540 115017 131448 153356 164310 191695 219080 230034 257419 306712 328620 383390 460068 514838 575085 657240 766780 772257 920136 1029676 1150170 1287095 1533560 1544514 1801933 2059352 2300340 2574190 3089028 3603866 3861285 4600680 5148380 5405799 6178056 7207732 7722570 9009665 10296760 10811598 14415464 15445140 18019330 21623196 27028995 30890280 36038660 43246392 54057990 72077320 108115980 216231960