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214522001440 = 2557119198869
BaseRepresentation
bin1100011111001010000…
…0011111100000100000
3202111201101222210102121
43013302200133200200
512003320113021230
6242314450554024
721333024632425
oct3076240374040
9674641883377
10214522001440
1182a8409388a
12356aab98914
13172c9b17536
14a550a39d4c
1558a831977a
hex31f281f820

214522001440 has 96 divisors (see below), whose sum is σ = 516642416640. Its totient is φ = 84156441600.

The previous prime is 214522001431. The next prime is 214522001459. The reversal of 214522001440 is 44100225412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120326 + ... + 2219194.

It is an arithmetic number, because the mean of its divisors is an integer number (5381691840).

Almost surely, 2214522001440 is an apocalyptic number.

214522001440 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 214522001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258321208320).

214522001440 is an abundant number, since it is smaller than the sum of its proper divisors (302120415200).

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

214522001440 is a wasteful number, since it uses less digits than its factorization.

214522001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99146 (or 99138 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 214522001440 its reverse (44100225412), we get a palindrome (258622226852).

The spelling of 214522001440 in words is "two hundred fourteen billion, five hundred twenty-two million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 191 284 355 382 568 710 764 955 1136 1420 1528 1910 2272 2840 3056 3820 5680 6112 7640 11360 13561 15280 27122 30560 54244 67805 98869 108488 135610 197738 216976 271220 395476 433952 494345 542440 790952 988690 1084880 1581904 1977380 2169760 3163808 3954760 7019699 7909520 14039398 15819040 18883979 28078796 35098495 37767958 56157592 70196990 75535916 94419895 112315184 140393980 151071832 188839790 224630368 280787960 302143664 377679580 561575920 604287328 755359160 1123151840 1340762509 1510718320 2681525018 3021436640 5363050036 6703812545 10726100072 13407625090 21452200144 26815250180 42904400288 53630500360 107261000720 214522001440