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213899504 = 24721331677
BaseRepresentation
bin11001011111111…
…01100011110000
3112220111012221212
430233331203300
5414224241004
633120335252
75205054500
oct1457754360
9486435855
10213899504
11aa816955
125b774528
1335412a70
142059da00
1513ba296e
hexcbfd8f0

213899504 has 120 divisors (see below), whose sum is σ = 536715648. Its totient is φ = 81768960.

The previous prime is 213899437. The next prime is 213899513. The reversal of 213899504 is 405998312.

It is a super-2 number, since 2×2138995042 = 91505995622892032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315614 + ... + 316290.

Almost surely, 2213899504 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 213899504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268357824).

213899504 is an abundant number, since it is smaller than the sum of its proper divisors (322816144).

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

213899504 is a wasteful number, since it uses less digits than its factorization.

213899504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 213899504 is about 14625.3035524053. The cubic root of 213899504 is about 598.0487575969.

The spelling of 213899504 in words is "two hundred thirteen million, eight hundred ninety-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 91 98 104 112 124 182 196 208 217 248 364 392 403 434 496 637 677 728 784 806 868 1274 1354 1456 1519 1612 1736 2548 2708 2821 3038 3224 3472 4739 5096 5416 5642 6076 6448 8801 9478 10192 10832 11284 12152 17602 18956 19747 20987 22568 24304 33173 35204 37912 39494 41974 45136 61607 66346 70408 75824 78988 83948 123214 132692 140816 146909 157976 167896 246428 265384 272831 293818 315952 335792 431249 492856 530768 545662 587636 862498 985712 1028363 1091324 1175272 1724996 1909817 2056726 2182648 2350544 3449992 3819634 4113452 4365296 6899984 7639268 8226904 13368719 15278536 16453808 26737438 30557072 53474876 106949752 213899504