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2152225320 = 2335721112143
BaseRepresentation
bin1000000001001000…
…0101101000101000
312112222210101002220
42000102011220220
513401432202240
6553321354040
7104222420250
oct20022055050
95488711086
102152225320
11a04969813
12500938920
13283b7510b
14165ba2960
15c8e315d0
hex80485a28

2152225320 has 128 divisors (see below), whose sum is σ = 7414640640. Its totient is φ = 489565440.

The previous prime is 2152225307. The next prime is 2152225333. The reversal of 2152225320 is 235222512.

It is an interprime number because it is at equal distance from previous prime (2152225307) and next prime (2152225333).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171169 + ... + 183311.

It is an arithmetic number, because the mean of its divisors is an integer number (57926880).

Almost surely, 22152225320 is an apocalyptic number.

2152225320 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 2152225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707320320).

2152225320 is an abundant number, since it is smaller than the sum of its proper divisors (5262415320).

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

2152225320 is a wasteful number, since it uses less digits than its factorization.

2152225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12375 (or 12371 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2152225320 is about 46392.0825141532. The cubic root of 2152225320 is about 1291.1080198325.

Adding to 2152225320 its reverse (235222512), we get a palindrome (2387447832).

The spelling of 2152225320 in words is "two billion, one hundred fifty-two million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 211 280 420 422 633 840 844 1055 1266 1477 1688 2110 2532 2954 3165 4220 4431 5064 5908 6330 7385 8440 8862 11816 12143 12660 14770 17724 22155 24286 25320 29540 35448 36429 44310 48572 59080 60715 72858 85001 88620 97144 121430 145716 170002 177240 182145 242860 255003 291432 340004 364290 425005 485720 510006 680008 728580 850010 1020012 1275015 1457160 1700020 2040024 2550030 2562173 3400040 5100060 5124346 7686519 10200120 10248692 12810865 15373038 17935211 20497384 25621730 30746076 35870422 38432595 51243460 53805633 61492152 71740844 76865190 89676055 102486920 107611266 143481688 153730380 179352110 215222532 269028165 307460760 358704220 430445064 538056330 717408440 1076112660 2152225320