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2552269020 = 223578968279
BaseRepresentation
bin1001100000100000…
…1000100011011100
320120212112200220020
42120020020203130
520211340102040
61101131552140
7120150633360
oct23010104334
96525480806
102552269020
11109a764544
125b28bb650
13318a00572
141a2d792a0
15ee102cd0
hex982088dc

2552269020 has 96 divisors (see below), whose sum is σ = 8259148800. Its totient is φ = 576812544.

The previous prime is 2552269019. The next prime is 2552269051. The reversal of 2552269020 is 209622552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3241 + ... + 71519.

It is an arithmetic number, because the mean of its divisors is an integer number (86032800).

Almost surely, 22552269020 is an apocalyptic number.

2552269020 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 2552269020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129574400).

2552269020 is an abundant number, since it is smaller than the sum of its proper divisors (5706879780).

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

2552269020 is a wasteful number, since it uses less digits than its factorization.

2552269020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68387 (or 68385 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2552269020 is about 50519.9863420409. The cubic root of 2552269020 is about 1366.6023073665.

The spelling of 2552269020 in words is "two billion, five hundred fifty-two million, two hundred sixty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1869 2492 2670 3115 3738 5340 6230 7476 9345 12460 18690 37380 68279 136558 204837 273116 341395 409674 477953 682790 819348 955906 1024185 1365580 1433859 1911812 2048370 2389765 2867718 4096740 4779530 5735436 6076831 7169295 9559060 12153662 14338590 18230493 24307324 28677180 30384155 36460986 42537817 60768310 72921972 85075634 91152465 121536620 127613451 170151268 182304930 212689085 255226902 364609860 425378170 510453804 638067255 850756340 1276134510 2552269020