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223221303023220 = 223251240118350129
BaseRepresentation
bin110010110000010011000010…
…011110010001011001110100
31002021100202012102001020020200
4302300103002132101121310
5213224224212033220340
62110430241223000500
765006130660266115
oct6260230236213164
91067322172036220
10223221303023220
1165141694209977
122105194a899130
1397728a8a22658
143d19d7c20c20c
151ac1771e45330
hexcb04c2791674

223221303023220 has 36 divisors (see below), whose sum is σ = 677104619170980. Its totient is φ = 59525680806144.

The previous prime is 223221303023179. The next prime is 223221303023233. The reversal of 223221303023220 is 22320303122322.

223221303023220 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 1 + 30 + 302 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38008038784356 + 185213264238864 = 6165066^2 + 13609308^2 .

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

It is a super-3 number, since 3×2232213030232203 (a number of 44 digits) contains 333 as substring.

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, 620059174885 + ... + 620059175244.

Almost surely, 2223221303023220 is an apocalyptic number.

223221303023220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221303023220 is an abundant number, since it is smaller than the sum of its proper divisors (453883316147760).

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

223221303023220 is a wasteful number, since it uses less digits than its factorization.

223221303023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240118350144 (or 1240118350139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 223221303023220 its reverse (22320303122322), we get a palindrome (245541606145542).

The spelling of 223221303023220 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, three hundred three million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1240118350129 2480236700258 3720355050387 4960473400516 6200591750645 7440710100774 11161065151161 12401183501290 14881420201548 18601775251935 22322130302322 24802367002580 37203550503870 44644260604644 55805325755805 74407101007740 111610651511610 223221303023220