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2225155320 = 2333511318233
BaseRepresentation
bin1000010010100001…
…0010110011111000
312202002000121021000
42010220102303320
514024114432240
61004444445000
7106066336203
oct20450226370
95662017230
102225155320
11a42051143
12521249760
13295ccb46b
1417174893a
15d053a430
hex84a12cf8

2225155320 has 128 divisors (see below), whose sum is σ = 7483233600. Its totient is φ = 588091392.

The previous prime is 2225155301. The next prime is 2225155327. The reversal of 2225155320 is 235515222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225155327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112924 + ... + 131156.

Almost surely, 22225155320 is an apocalyptic number.

2225155320 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 2225155320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741616800).

2225155320 is an abundant number, since it is smaller than the sum of its proper divisors (5258078280).

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

2225155320 is a wasteful number, since it uses less digits than its factorization.

2225155320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18366 (or 18356 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2225155320 is about 47171.5520202590. The cubic root of 2225155320 is about 1305.5297624547.

The spelling of 2225155320 in words is "two billion, two hundred twenty-five million, one hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 452 540 565 678 904 1017 1080 1130 1356 1695 2034 2260 2712 3051 3390 4068 4520 5085 6102 6780 8136 10170 12204 13560 15255 18233 20340 24408 30510 36466 40680 54699 61020 72932 91165 109398 122040 145864 164097 182330 218796 273495 328194 364660 437592 492291 546990 656388 729320 820485 984582 1093980 1312776 1640970 1969164 2060329 2187960 2461455 3281940 3938328 4120658 4922910 6180987 6563880 8241316 9845820 10301645 12361974 16482632 18542961 19691640 20603290 24723948 30904935 37085922 41206580 49447896 55628883 61809870 74171844 82413160 92714805 111257766 123619740 148343688 185429610 222515532 247239480 278144415 370859220 445031064 556288830 741718440 1112577660 2225155320