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20972220 = 22351729709
BaseRepresentation
bin101000000000…
…0001010111100
31110110111110220
41100000022330
520332102340
62025301340
7343155333
oct120001274
943414426
1020972220
1110924815
127034850
134463ac9
142adcd1a
151c93ed0
hex14002bc

20972220 has 96 divisors (see below), whose sum is σ = 64411200. Its totient is φ = 5074944.

The previous prime is 20972179. The next prime is 20972221. The reversal of 20972220 is 2227902.

20972220 = 3062 + 3072 + ... + 4502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20972221) 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, 29226 + ... + 29934.

It is an arithmetic number, because the mean of its divisors is an integer number (670950).

Almost surely, 220972220 is an apocalyptic number.

20972220 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 20972220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32205600).

20972220 is an abundant number, since it is smaller than the sum of its proper divisors (43438980).

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

20972220 is a wasteful number, since it uses less digits than its factorization.

20972220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20972220 is about 4579.5436453865. The cubic root of 20972220 is about 275.7707085360.

The spelling of 20972220 in words is "twenty million, nine hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 709 870 986 1020 1418 1479 1740 1972 2127 2465 2836 2958 3545 4254 4930 5916 7090 7395 8508 9860 10635 12053 14180 14790 20561 21270 24106 29580 36159 41122 42540 48212 60265 61683 72318 82244 102805 120530 123366 144636 180795 205610 241060 246732 308415 349537 361590 411220 616830 699074 723180 1048611 1233660 1398148 1747685 2097222 3495370 4194444 5243055 6990740 10486110 20972220