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223293732992 = 2711237972
BaseRepresentation
bin1100111111110101010…
…1111111100010000000
3210100100201112220222222
43033331111333202000
512124301143423432
6250325115350212
722063266262001
oct3177525774200
9710321486888
10223293732992
1186775544600
1237338752368
13180971c3735
14ab439d11a8
155c1d456112
hex33fd57f880

223293732992 has 72 divisors (see below), whose sum is σ = 489088452405. Its totient is φ = 101470420480.

The previous prime is 223293732967. The next prime is 223293733021. The reversal of 223293732992 is 299237392322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 137059886656 + 86233846336 = 370216^2 + 293656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334136.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58806038 + ... + 58809834.

Almost surely, 2223293732992 is an apocalyptic number.

223293732992 is a gapful number since it is divisible by the number (22) 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 223293732992

223293732992 is an abundant number, since it is smaller than the sum of its proper divisors (265794719413).

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

223293732992 is an frugal number, since it uses more digits than its factorization.

223293732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 3810 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 53.

The spelling of 223293732992 in words is "two hundred twenty-three billion, two hundred ninety-three million, seven hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3797 3872 7594 7744 15188 15488 30376 41767 60752 83534 121504 167068 243008 334136 459437 486016 668272 918874 1336544 1837748 2673088 3675496 5346176 7350992 14417209 14701984 28834418 29403968 57668836 58807936 115337672 158589299 230675344 317178598 461350688 634357196 922701376 1268714392 1744482289 1845402752 2537428784 3488964578 5074857568 6977929156 10149715136 13955858312 20299430272 27911716624 55823433248 111646866496 223293732992