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214000303032 = 233283337106261
BaseRepresentation
bin1100011101001101101…
…0010111101110111000
3202110101001022202202100
43013103122113232320
512001233034144112
6242151013103400
721314061364005
oct3072332275670
9673331282670
10214000303032
118283665707a
1235584327b60
1317245a05c59
14a5016368ac
1558776172dc
hex31d3697bb8

214000303032 has 96 divisors (see below), whose sum is σ = 588313187280. Its totient is φ = 70264212480.

The previous prime is 214000303003. The next prime is 214000303061. The reversal of 214000303032 is 230303000412.

It is an interprime number because it is at equal distance from previous prime (214000303003) and next prime (214000303061).

It is a super-2 number, since 2×2140003030322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214000302996 and 214000303014.

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, 1960782 + ... + 2067042.

Almost surely, 2214000303032 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 214000303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294156593640).

214000303032 is an abundant number, since it is smaller than the sum of its proper divisors (374312884248).

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

214000303032 is a wasteful number, since it uses less digits than its factorization.

214000303032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106693 (or 106686 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 214000303032 its reverse (230303000412), we get a palindrome (444303303444).

The spelling of 214000303032 in words is "two hundred fourteen billion, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 337 498 664 674 747 996 1011 1348 1494 1992 2022 2696 2988 3033 4044 5976 6066 8088 12132 24264 27971 55942 83913 106261 111884 167826 212522 223768 251739 318783 335652 425044 503478 637566 671304 850088 956349 1006956 1275132 1912698 2013912 2550264 3825396 7650792 8819663 17639326 26458989 35278652 35809957 52917978 70557304 71619914 79376967 105835956 107429871 143239828 158753934 211671912 214859742 286479656 317507868 322289613 429719484 635015736 644579226 859438968 1289158452 2578316904 2972226431 5944452862 8916679293 11888905724 17833358586 23777811448 26750037879 35666717172 53500075758 71333434344 107000151516 214000303032