Search a number
-
+
2272466970 = 2325292393643
BaseRepresentation
bin1000011101110011…
…0001100000011010
312212101001021122100
42013130301200122
514123222420340
61013254504230
7110212436064
oct20734614032
95771037570
102272466970
11a66826084
12535065076
132a2a55017
14177b42734
15d4783830
hex8773181a

2272466970 has 96 divisors (see below), whose sum is σ = 6139411200. Its totient is φ = 582486912.

The previous prime is 2272466957. The next prime is 2272467011. The reversal of 2272466970 is 796642722.

It is a super-2 number, since 2×22724669702 = 10328212259481961800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a cake number, because a cake can be divided into 2272466970 parts by 2389 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621969 + ... + 625611.

It is an arithmetic number, because the mean of its divisors is an integer number (63952200).

Almost surely, 22272466970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272466970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069705600).

2272466970 is an abundant number, since it is smaller than the sum of its proper divisors (3866944230).

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

2272466970 is a wasteful number, since it uses less digits than its factorization.

2272466970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2272466970 is about 47670.3993060683. The cubic root of 2272466970 is about 1314.7177503881.

The spelling of 2272466970 in words is "two billion, two hundred seventy-two million, four hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 239 261 290 435 478 522 717 870 1195 1305 1434 2151 2390 2610 3585 3643 4302 6931 7170 7286 10755 10929 13862 18215 20793 21510 21858 32787 34655 36430 41586 54645 62379 65574 69310 103965 105647 109290 124758 163935 207930 211294 311895 316941 327870 528235 623790 633882 870677 950823 1056470 1584705 1741354 1901646 2612031 3169410 4353385 4754115 5224062 7836093 8706770 9508230 13060155 15672186 25249633 26120310 39180465 50499266 75748899 78360930 126248165 151497798 227246697 252496330 378744495 454493394 757488990 1136233485 2272466970