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272144472 = 233371372237
BaseRepresentation
bin10000001110001…
…001100001011000
3200222002101000220
4100032021201120
51024132110342
643001000040
76513122055
oct2016114130
9628071026
10272144472
1112a689196
1277183020
13444c6c42
142820202c
1518d5a5ec
hex10389858

272144472 has 64 divisors (see below), whose sum is σ = 704164320. Its totient is φ = 87579648.

The previous prime is 272144459. The next prime is 272144473. The reversal of 272144472 is 274441272.

It is a super-2 number, since 2×2721444722 = 148125227280317568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272144473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120538 + ... + 122774.

Almost surely, 2272144472 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 272144472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352082160).

272144472 is an abundant number, since it is smaller than the sum of its proper divisors (432019848).

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

272144472 is a wasteful number, since it uses less digits than its factorization.

272144472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2416 counting only the distinct ones).

The product of its digits is 25088, while the sum is 33.

The square root of 272144472 is about 16496.8018718781. The cubic root of 272144472 is about 648.0370539701.

The spelling of 272144472 in words is "two hundred seventy-two million, one hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 137 148 222 274 296 411 444 548 822 888 1096 1644 2237 3288 4474 5069 6711 8948 10138 13422 15207 17896 20276 26844 30414 40552 53688 60828 82769 121656 165538 248307 306469 331076 496614 612938 662152 919407 993228 1225876 1838814 1986456 2451752 3677628 7355256 11339353 22678706 34018059 45357412 68036118 90714824 136072236 272144472