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22291020 = 22325373347
BaseRepresentation
bin101010100001…
…0001001001100
31112221111112100
41111002021030
521201303040
62113435100
7360320253
oct125021114
945844470
1022291020
1111645634
12756ba90
13480616b
142d6379a
151e54b30
hex154224c

22291020 has 72 divisors (see below), whose sum is σ = 69464304. Its totient is φ = 5781888.

The previous prime is 22291007. The next prime is 22291033. The reversal of 22291020 is 2019222.

It is an interprime number because it is at equal distance from previous prime (22291007) and next prime (22291033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22290984 and 22291002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4987 + ... + 8333.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 222291020 is an apocalyptic number.

22291020 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 22291020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732152).

22291020 is an abundant number, since it is smaller than the sum of its proper divisors (47173284).

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

22291020 is a wasteful number, since it uses less digits than its factorization.

22291020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22291020 is about 4721.3366751377. The cubic root of 22291020 is about 281.4340543405.

It can be divided in two parts, 2229 and 1020, that added together give a square (3249 = 572).

The spelling of 22291020 in words is "twenty-two million, two hundred ninety-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3347 6660 6694 10041 13388 16735 20082 30123 33470 40164 50205 60246 66940 100410 120492 123839 150615 200820 247678 301230 371517 495356 602460 619195 743034 1114551 1238390 1486068 1857585 2229102 2476780 3715170 4458204 5572755 7430340 11145510 22291020