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223120333332 = 223213476752849
BaseRepresentation
bin1100111111001100000…
…0100001101000010100
3210022220122021022101100
43033303000201220110
512123422301131312
6250300003030100
722056062353431
oct3176300415024
9708818238340
10223120333332
118669667a8a6
12372aa66b330
131806a2c0ba0
14ab28974b88
155c0d1035dc
hex33f3021a14

223120333332 has 36 divisors (see below), whose sum is σ = 607383130900. Its totient is φ = 68652410112.

The previous prime is 223120333307. The next prime is 223120333393. The reversal of 223120333332 is 233333021322.

It can be written as a sum of positive squares in 2 ways, for example, as 137911220496 + 85209112836 = 371364^2 + 291906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2231203333323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223120333296 and 223120333305.

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, 238375957 + ... + 238376892.

Almost surely, 2223120333332 is an apocalyptic number.

It is an amenable number.

223120333332 is an abundant number, since it is smaller than the sum of its proper divisors (384262797568).

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

223120333332 is a wasteful number, since it uses less digits than its factorization.

223120333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476752872 (or 476752867 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 223120333332 its reverse (233333021322), we get a palindrome (456453354654).

The spelling of 223120333332 in words is "two hundred twenty-three billion, one hundred twenty million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 476752849 953505698 1430258547 1907011396 2860517094 4290775641 5721034188 6197787037 8581551282 12395574074 17163102564 18593361111 24791148148 37186722222 55780083333 74373444444 111560166666 223120333332