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2254575552 = 263231393673
BaseRepresentation
bin1000011001100010…
…0001011111000000
312211010101022020020
42012120201133000
514104132404202
61011415213440
7106604401365
oct20630413700
95733338206
102254575552
11a57715a89
1252b077280
1329c12c598
1417560646c
15d2dec5bc
hex866217c0

2254575552 has 112 divisors (see below), whose sum is σ = 6271077120. Its totient is φ = 713484288.

The previous prime is 2254575551. The next prime is 2254575599. The reversal of 2254575552 is 2555754522.

It is a super-2 number, since 2×22545755522 = 10166221839352209408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254575551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611988 + ... + 615660.

It is an arithmetic number, because the mean of its divisors is an integer number (55991760).

Almost surely, 22254575552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135538560).

2254575552 is an abundant number, since it is smaller than the sum of its proper divisors (4016501568).

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

2254575552 is a wasteful number, since it uses less digits than its factorization.

2254575552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3840 counting only the distinct ones).

The product of its digits is 700000, while the sum is 42.

The square root of 2254575552 is about 47482.3709601785. The cubic root of 2254575552 is about 1311.2583429752.

The spelling of 2254575552 in words is "two billion, two hundred fifty-four million, five hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 139 184 192 276 278 368 417 552 556 736 834 1104 1112 1472 1668 2208 2224 3197 3336 3673 4416 4448 6394 6672 7346 8896 9591 11019 12788 13344 14692 19182 22038 25576 26688 29384 38364 44076 51152 58768 76728 84479 88152 102304 117536 153456 168958 176304 204608 235072 253437 306912 337916 352608 506874 510547 613824 675832 705216 1013748 1021094 1351664 1531641 2027496 2042188 2703328 3063282 4054992 4084376 5406656 6126564 8109984 8168752 11742581 12253128 16219968 16337504 23485162 24506256 32675008 35227743 46970324 49012512 70455486 93940648 98025024 140910972 187881296 281821944 375762592 563643888 751525184 1127287776 2254575552