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223145460636 = 22377379460637
BaseRepresentation
bin1100111111010010000…
…0011000001110011100
3210022222101112220120020
43033310200120032130
512124000214220021
6250302301352140
722056516056040
oct3176440301634
9708871486506
10223145460636
11866a988236a
12372b6b68650
131807257b007
14ab2c036020
155c104187c6
hex33f481839c

223145460636 has 96 divisors (see below), whose sum is σ = 610842839040. Its totient is φ = 62086362624.

The previous prime is 223145460619. The next prime is 223145460661. The reversal of 223145460636 is 636064541322.

It is a happy number.

It is a super-3 number, since 3×2231454606363 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254110 + ... + 714746.

It is an arithmetic number, because the mean of its divisors is an integer number (6362946240).

Almost surely, 2223145460636 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 223145460636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305421419520).

223145460636 is an abundant number, since it is smaller than the sum of its proper divisors (387697378404).

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

223145460636 is a wasteful number, since it uses less digits than its factorization.

223145460636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460803 (or 460801 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 223145460636 in words is "two hundred twenty-three billion, one hundred forty-five million, four hundred sixty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 79 84 146 158 219 237 292 316 438 474 511 553 876 948 1022 1106 1533 1659 2044 2212 3066 3318 5767 6132 6636 11534 17301 23068 34602 40369 69204 80738 121107 161476 242214 460637 484428 921274 1381911 1842548 2763822 3224459 5527644 6448918 9673377 12897836 19346754 33626501 36390323 38693508 67253002 72780646 100879503 109170969 134506004 145561292 201759006 218341938 235385507 254732261 403518012 436683876 470771014 509464522 706156521 764196783 941542028 1018929044 1412313042 1528393566 2656493579 2824626084 3056787132 5312987158 7969480737 10625974316 15938961474 18595455053 31877922948 37190910106 55786365159 74381820212 111572730318 223145460636