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219804370434 = 2321123139347239
BaseRepresentation
bin1100110010110101011…
…1001000011000000010
3210000100112200221102200
43030231113020120002
512100124404323214
6244550550254030
721610646215215
oct3145527103002
9700315627380
10219804370434
11852449228a0
1236724057316
131795c30cb6c
14a8d240177c
155ab6e4ad09
hex332d5c8602

219804370434 has 96 divisors (see below), whose sum is σ = 546027955200. Its totient is φ = 63252874080.

The previous prime is 219804370393. The next prime is 219804370519. The reversal of 219804370434 is 434073408912.

219804370434 is a `hidden beast` number, since 21 + 98 + 0 + 43 + 70 + 434 = 666.

It is a super-2 number, since 2×2198043704342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 219804370434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459387 + ... + 806625.

It is an arithmetic number, because the mean of its divisors is an integer number (5687791200).

Almost surely, 2219804370434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219804370434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273013977600).

219804370434 is an abundant number, since it is smaller than the sum of its proper divisors (326223584766).

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

219804370434 is a wasteful number, since it uses less digits than its factorization.

219804370434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347420 (or 347417 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 219804370434 in words is "two hundred nineteen billion, eight hundred four million, three hundred seventy thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 139 198 207 253 278 414 417 506 759 834 1251 1518 1529 2277 2502 3058 3197 4554 4587 6394 9174 9591 13761 19182 27522 28773 35167 57546 70334 105501 211002 316503 347239 633006 694478 1041717 2083434 3125151 3819629 6250302 7639258 7986497 11458887 15972994 22917774 23959491 34376661 47918982 48266221 68753322 71878473 87851467 96532442 143756946 144798663 175702934 263554401 289597326 434395989 527108802 530928431 790663203 868791978 1061856862 1110123083 1581326406 1592785293 2220246166 3185570586 3330369249 4778355879 6660738498 9556711758 9991107747 12211353913 19982215494 24422707826 36634061739 73268123478 109902185217 219804370434