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213357004 = 227171931761
BaseRepresentation
bin11001011011110…
…01000111001100
3112212110122210021
430231321013030
5414104411004
633100551524
75200335040
oct1455710714
9485418707
10213357004
11aa486303
125b5525a4
1335282b63
142049c020
1513ae6d54
hexcb791cc

213357004 has 96 divisors (see below), whose sum is σ = 491581440. Its totient is φ = 78796800.

The previous prime is 213356999. The next prime is 213357041. The reversal of 213357004 is 400753312.

It is a super-2 number, since 2×2133570042 = 91042422311712032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213357004.

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, 279984 + ... + 280744.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2213357004 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 213357004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

213357004 is an abundant number, since it is smaller than the sum of its proper divisors (278224436).

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

213357004 is a wasteful number, since it uses less digits than its factorization.

213357004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 213357004 is about 14606.7451542087. The cubic root of 213357004 is about 597.5427316066.

The spelling of 213357004 in words is "two hundred thirteen million, three hundred fifty-seven thousand, four".

Divisors: 1 2 4 7 14 17 19 28 31 34 38 62 68 76 119 124 133 217 238 266 323 434 476 527 532 589 646 761 868 1054 1178 1292 1522 2108 2261 2356 3044 3689 4123 4522 5327 7378 8246 9044 10013 10654 12937 14459 14756 16492 20026 21308 23591 25874 28918 40052 47182 51748 57836 70091 90559 94364 101213 140182 165137 181118 202426 245803 280364 330274 362236 401047 404852 448229 491606 660548 802094 896458 983212 1604188 1720621 1792916 2807329 3137603 3441242 5614658 6275206 6882484 7619893 11229316 12550412 15239786 30479572 53339251 106678502 213357004