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214452002220 = 223517375682353
BaseRepresentation
bin1100011110111001010…
…1011101110110101100
3202111112112021110112220
43013232111131312230
512003144203032340
6242303510355340
721331214641161
oct3075625356654
9674475243486
10214452002220
1182a48623395
123568b65bb50
13172b8479191
14a545618068
1558a20dded0
hex31ee55ddac

214452002220 has 96 divisors (see below), whose sum is σ = 652970662848. Its totient is φ = 52368556032.

The previous prime is 214452002201. The next prime is 214452002239. The reversal of 214452002220 is 22200254412.

It is an interprime number because it is at equal distance from previous prime (214452002201) and next prime (214452002239).

It is a super-2 number, since 2×2144520022202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2803437 + ... + 2878916.

It is an arithmetic number, because the mean of its divisors is an integer number (6801777738).

Almost surely, 2214452002220 is an apocalyptic number.

214452002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214452002220 is an abundant number, since it is smaller than the sum of its proper divisors (438518660628).

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

214452002220 is a wasteful number, since it uses less digits than its factorization.

214452002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682419 (or 5682417 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 214452002220 its reverse (22200254412), we get a palindrome (236652256632).

The spelling of 214452002220 in words is "two hundred fourteen billion, four hundred fifty-two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 12580 18870 37740 5682353 11364706 17047059 22729412 28411765 34094118 56823530 68188236 85235295 96600001 113647060 170470590 193200002 210247061 289800003 340941180 386400004 420494122 483000005 579600006 630741183 840988244 966000010 1051235305 1159200012 1261482366 1449000015 1932000020 2102470610 2522964732 2898000030 3153705915 3574200037 4204941220 5796000060 6307411830 7148400074 10722600111 12614823660 14296800148 17871000185 21445200222 35742000370 42890400444 53613000555 71484000740 107226001110 214452002220