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224164403136 = 26321013853211
BaseRepresentation
bin1101000011000100111…
…1010101011111000000
3210102121101212112220100
43100301033111133000
512133042041400021
6250551341042400
722124000662632
oct3206117253700
9712541775810
10224164403136
1187081a63a03
1237540256400
13181a56bb17b
14abc74b4a52
155c6eadc626
hex34313d57c0

224164403136 has 84 divisors (see below), whose sum is σ = 648888607224. Its totient is φ = 73981632000.

The previous prime is 224164403129. The next prime is 224164403161. The reversal of 224164403136 is 631304461422.

224164403136 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 644 + 0 + 3 + 1 + 3 + 6 = 666.

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 224164403136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1868430 + ... + 1984781.

Almost surely, 2224164403136 is an apocalyptic number.

It is an amenable number.

224164403136 is an abundant number, since it is smaller than the sum of its proper divisors (424724204088).

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

224164403136 is a wasteful number, since it uses less digits than its factorization.

224164403136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853330 (or 3853317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 224164403136 its reverse (631304461422), we get a palindrome (855468864558).

The spelling of 224164403136 in words is "two hundred twenty-four billion, one hundred sixty-four million, four hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 909 1212 1616 1818 2424 3232 3636 4848 6464 7272 9696 14544 19392 29088 58176 3853211 7706422 11559633 15412844 23119266 30825688 34678899 46238532 61651376 69357798 92477064 123302752 138715596 184954128 246605504 277431192 369908256 389174311 554862384 739816512 778348622 1109724768 1167522933 1556697244 2219449536 2335045866 3113394488 3502568799 4670091732 6226788976 7005137598 9340183464 12453577952 14010275196 18680366928 24907155904 28020550392 37360733856 56041100784 74721467712 112082201568 224164403136