Search a number
-
+
216121704 = 233531311297
BaseRepresentation
bin11001110000111…
…00000101101000
3120001200010020120
430320130011220
5420311343304
633240123240
75233001301
oct1470340550
9501603216
10216121704
11100aa4487
1260466520
1335a10386
14209bb7a8
1513e910d9
hexce1c168

216121704 has 64 divisors (see below), whose sum is σ = 555128640. Its totient is φ = 70087680.

The previous prime is 216121691. The next prime is 216121709. The reversal of 216121704 is 407121612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (216121709) 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, 165984 + ... + 167280.

It is an arithmetic number, because the mean of its divisors is an integer number (8673885).

Almost surely, 2216121704 is an apocalyptic number.

216121704 is a gapful number since it is divisible by the number (24) 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 216121704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277564320).

216121704 is an abundant number, since it is smaller than the sum of its proper divisors (339006936).

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

216121704 is a wasteful number, since it uses less digits than its factorization.

216121704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 216121704 is about 14701.0783277962. The cubic root of 216121704 is about 600.1126677309.

The spelling of 216121704 in words is "two hundred sixteen million, one hundred twenty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 131 159 212 262 318 393 424 524 636 786 1048 1272 1297 1572 2594 3144 3891 5188 6943 7782 10376 13886 15564 20829 27772 31128 41658 55544 68741 83316 137482 166632 169907 206223 274964 339814 412446 509721 549928 679628 824892 1019442 1359256 1649784 2038884 4077768 9005071 18010142 27015213 36020284 54030426 72040568 108060852 216121704