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223974707664 = 24323474316503
BaseRepresentation
bin1101000010010111101…
…1101101000111010000
3210102010011221000122010
43100211323231013100
512132200011121124
6250520443142520
722116205413621
oct3204573550720
9712104830563
10223974707664
1186a94979994
12374a8814a40
1318175301226
14abaa215a48
155c5d11b529
hex3425eed1d0

223974707664 has 80 divisors (see below), whose sum is σ = 616603963392. Its totient is φ = 69892800384.

The previous prime is 223974707653. The next prime is 223974707689. The reversal of 223974707664 is 466707479322.

223974707664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106364 + ... + 2210139.

Almost surely, 2223974707664 is an apocalyptic number.

223974707664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223974707664 is an abundant number, since it is smaller than the sum of its proper divisors (392629255728).

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

223974707664 is a wasteful number, since it uses less digits than its factorization.

223974707664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316584 (or 4316578 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 223974707664 in words is "two hundred twenty-three billion, nine hundred seventy-four million, seven hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 184 188 276 282 368 376 552 564 752 1081 1104 1128 2162 2256 3243 4324 6486 8648 12972 17296 25944 51888 4316503 8633006 12949509 17266012 25899018 34532024 51798036 69064048 99279569 103596072 198559138 202875641 207192144 297838707 397118276 405751282 595677414 608626923 794236552 811502564 1191354828 1217253846 1588473104 1623005128 2382709656 2434507692 3246010256 4666139743 4765419312 4869015384 9332279486 9738030768 13998419229 18664558972 27996838458 37329117944 55993676916 74658235888 111987353832 223974707664