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219630892208 = 247137112716729
BaseRepresentation
bin1100110010001100000…
…1010111010010110000
3202222220110021100001012
43030203001113102300
512044301002022313
6244521432130052
721603441531620
oct3144301272260
9688813240035
10219630892208
1185165a05062
1236695b36928
13179323b0620
14a8b7364880
155aa6aceda8
hex33230574b0

219630892208 has 160 divisors (see below), whose sum is σ = 535325736960. Its totient is φ = 84983592960.

The previous prime is 219630892051. The next prime is 219630892211. The reversal of 219630892208 is 802298036912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13120388 + ... + 13137116.

It is an arithmetic number, because the mean of its divisors is an integer number (3345785856).

Almost surely, 2219630892208 is an apocalyptic number.

219630892208 is a gapful number since it is divisible by the number (28) 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 219630892208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267662868480).

219630892208 is an abundant number, since it is smaller than the sum of its proper divisors (315694844752).

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

219630892208 is a wasteful number, since it uses less digits than its factorization.

219630892208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16955 (or 16949 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 219630892208 in words is "two hundred nineteen billion, six hundred thirty million, eight hundred ninety-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 71 91 104 112 127 142 182 208 254 284 364 497 508 568 728 889 923 994 1016 1136 1456 1651 1778 1846 1988 2032 3302 3556 3692 3976 6461 6604 7112 7384 7952 9017 11557 12922 13208 14224 14768 16729 18034 23114 25844 26416 33458 36068 46228 51688 63119 66916 72136 92456 103376 117103 117221 126238 133832 144272 184912 217477 234206 234442 252476 267664 434954 468412 468884 504952 820547 869908 936824 937768 1009904 1187759 1522339 1641094 1739816 1873648 1875536 2124583 2375518 3044678 3282188 3479632 4249166 4751036 6089356 6564376 8314313 8498332 9502072 12178712 13128752 14872081 15440867 16628626 16996664 19004144 24357424 27619579 29744162 30881734 33257252 33993328 55239158 59488324 61763468 66514504 108086069 110478316 118976648 123526936 133029008 150845393 193337053 216172138 220956632 237953296 247053872 301690786 386674106 432344276 441913264 603381572 773348212 864688552 1055917751 1206763144 1546696424 1729377104 1960990109 2111835502 2413526288 3093392848 3921980218 4223671004 7843960436 8447342008 13726930763 15687920872 16894684016 27453861526 31375841744 54907723052 109815446104 219630892208