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223220720146060 = 2257213378310156489
BaseRepresentation
bin110010110000010010011111…
…101110110001011010001100
31002021100200200210021000002201
4302300102133232301122030
5213224222013324133220
62110430103321531244
765006110352023600
oct6260223756613214
91067320623230081
10223220720146060
116514141519670a
1221051807643b24
139772815040720
143d19d24a41500
151ac173abaad0a
hexcb049fbb168c

223220720146060 has 576 divisors, whose sum is σ = 616434321202560. Its totient is φ = 67234638643200.

The previous prime is 223220720146037. The next prime is 223220720146129. The reversal of 223220720146060 is 60641027022322.

It is a happy number.

223220720146060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232207201460603 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3951550296 + ... + 3951606784.

It is an arithmetic number, because the mean of its divisors is an integer number (1070198474310).

Almost surely, 2223220720146060 is an apocalyptic number.

223220720146060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223220720146060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308217160601280).

223220720146060 is an abundant number, since it is smaller than the sum of its proper divisors (393213601056500).

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

223220720146060 is a wasteful number, since it uses less digits than its factorization.

223220720146060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56746 (or 56737 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 223220720146060 its reverse (60641027022322), we get a palindrome (283861747168382).

The spelling of 223220720146060 in words is "two hundred twenty-three trillion, two hundred twenty billion, seven hundred twenty million, one hundred forty-six thousand, sixty".