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214231992 = 233131971509
BaseRepresentation
bin11001100010011…
…10101110111000
3112221010010001020
430301032232320
5414320410432
633131422440
75210641032
oct1461165670
9487103036
10214231992
11aaa23737
125b8b4a20
13354cb1c0
1420648c52
1513c1b22c
hexcc4ebb8

214231992 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 61447680.

The previous prime is 214231991. The next prime is 214231993. The reversal of 214231992 is 299132412.

It is an interprime number because it is at equal distance from previous prime (214231991) and next prime (214231993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214231991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420634 + ... + 421142.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2214231992 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 214231992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

214231992 is an abundant number, since it is smaller than the sum of its proper divisors (402664008).

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

214231992 is a wasteful number, since it uses less digits than its factorization.

214231992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 214231992 is about 14636.6660138161. Note that the first 3 decimals coincide. The cubic root of 214231992 is about 598.3584686090.

The spelling of 214231992 in words is "two hundred fourteen million, two hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 71 76 78 104 114 142 152 156 213 228 247 284 312 426 456 494 509 568 741 852 923 988 1018 1349 1482 1527 1704 1846 1976 2036 2698 2769 2964 3054 3692 4047 4072 5396 5538 5928 6108 6617 7384 8094 9671 10792 11076 12216 13234 16188 17537 19342 19851 22152 26468 29013 32376 35074 36139 38684 39702 52611 52936 58026 70148 72278 77368 79404 105222 108417 116052 125723 140296 144556 158808 210444 216834 232104 251446 289112 377169 420888 433668 469807 502892 686641 754338 867336 939614 1005784 1373282 1409421 1508676 1879228 2059923 2746564 2818842 3017352 3758456 4119846 5493128 5637684 8239692 8926333 11275368 16479384 17852666 26778999 35705332 53557998 71410664 107115996 214231992