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214104996 = 223271997461
BaseRepresentation
bin11001100001011…
…11101110100100
3112220212122211200
430300233232210
5414302324441
633125002500
75206601550
oct1460575644
9486778750
10214104996
11aa947286
125b853430
1335485461
1420614860
1513be37b6
hexcc2fba4

214104996 has 144 divisors (see below), whose sum is σ = 659218560. Its totient is φ = 57231360.

The previous prime is 214104983. The next prime is 214105007. The reversal of 214104996 is 699401412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214104996.

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, 464206 + ... + 464666.

Almost surely, 2214104996 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 214104996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329609280).

214104996 is an abundant number, since it is smaller than the sum of its proper divisors (445113564).

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

214104996 is a wasteful number, since it uses less digits than its factorization.

214104996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 214104996 is about 14632.3270876508. The cubic root of 214104996 is about 598.2402102797.

The spelling of 214104996 in words is "two hundred fourteen million, one hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 97 114 126 133 171 194 228 252 266 291 342 388 399 461 532 582 679 684 798 873 922 1164 1197 1358 1383 1596 1746 1843 1844 2037 2394 2716 2766 3227 3492 3686 4074 4149 4788 5529 5532 6111 6454 7372 8148 8298 8759 9681 11058 12222 12901 12908 16587 16596 17518 19362 22116 24444 25802 26277 29043 33174 35036 38703 38724 44717 51604 52554 58086 61313 66348 77406 78831 89434 105108 116109 116172 122626 134151 154812 157662 178868 183939 232218 245252 268302 313019 315324 367878 402453 464436 536604 551817 626038 735756 804906 849623 939057 1103634 1252076 1609812 1699246 1878114 2207268 2548869 2817171 3398492 3756228 5097738 5634342 5947361 7646607 10195476 11268684 11894722 15293214 17842083 23789444 30586428 35684166 53526249 71368332 107052498 214104996