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224078685852 = 22375961973043
BaseRepresentation
bin1101000010110000100…
…0010110011010011100
3210102101102120122220010
43100230020112122130
512132403120421402
6250535035523220
722121610255210
oct3205410263234
9712342518803
10224078685852
118703863827a
12375175b9510
1318190a08698
14abb9d60940
155c67309a6c
hex342c21669c

224078685852 has 96 divisors (see below), whose sum is σ = 608661043200. Its totient is φ = 62834818752.

The previous prime is 224078685851. The next prime is 224078685871. The reversal of 224078685852 is 258586870422.

224078685852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2240786858522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224078685792 and 224078685801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224078685851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3031243 + ... + 3104285.

It is an arithmetic number, because the mean of its divisors is an integer number (6340219200).

Almost surely, 2224078685852 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 224078685852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304330521600).

224078685852 is an abundant number, since it is smaller than the sum of its proper divisors (384582357348).

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

224078685852 is a wasteful number, since it uses less digits than its factorization.

224078685852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73735 (or 73733 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 224078685852 in words is "two hundred twenty-four billion, seventy-eight million, six hundred eighty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 619 708 826 1238 1239 1652 1857 2476 2478 3714 4333 4956 7428 8666 12999 17332 25998 36521 51996 73042 73043 109563 146084 146086 219126 219129 255647 292172 438252 438258 511294 511301 766941 876516 1022588 1022602 1533882 1533903 2045204 3067764 3067806 4309537 6135612 8619074 12928611 17238148 25857222 30166759 45213617 51714444 60333518 90427234 90500277 120667036 135640851 180854468 181000554 271281702 316495319 362001108 542563404 632990638 949485957 1265981276 1898971914 2667603403 3797943828 5335206806 8002810209 10670413612 16005620418 18673223821 32011240836 37346447642 56019671463 74692895284 112039342926 224078685852