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2172477940 = 2251737592927
BaseRepresentation
bin1000000101111101…
…0110000111110100
312121101220022110221
42001133112013310
513422123243230
6555323424124
7104556520633
oct20137260764
95541808427
102172477940
11a15341916
12507685044
13288116509
1416875551a
15caad227a
hex817d61f4

2172477940 has 96 divisors (see below), whose sum is σ = 5046935040. Its totient is φ = 782014464.

The previous prime is 2172477893. The next prime is 2172477941. The reversal of 2172477940 is 497742712.

2172477940 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 not an unprimeable number, because it can be changed into a prime (2172477941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740757 + ... + 743683.

It is an arithmetic number, because the mean of its divisors is an integer number (52572240).

Almost surely, 22172477940 is an apocalyptic number.

2172477940 is a gapful number since it is divisible by the number (20) 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 2172477940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523467520).

2172477940 is an abundant number, since it is smaller than the sum of its proper divisors (2874457100).

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

2172477940 is a wasteful number, since it uses less digits than its factorization.

2172477940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The square root of 2172477940 is about 46609.8481010183. The cubic root of 2172477940 is about 1295.1451942370.

The spelling of 2172477940 in words is "two billion, one hundred seventy-two million, four hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 59 68 74 85 118 148 170 185 236 295 340 370 590 629 740 1003 1180 1258 2006 2183 2516 2927 3145 4012 4366 5015 5854 6290 8732 10030 10915 11708 12580 14635 20060 21830 29270 37111 43660 49759 58540 74222 99518 108299 148444 172693 185555 199036 216598 248795 345386 371110 433196 497590 541495 690772 742220 863465 995180 1082990 1726930 1841083 2165980 2935781 3453860 3682166 5871562 6389641 7364332 9205415 11743124 12779282 14678905 18410830 25558564 29357810 31948205 36821660 58715620 63896410 108623897 127792820 217247794 434495588 543119485 1086238970 2172477940