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2231400552 = 2331783131503
BaseRepresentation
bin1000010100000000…
…0111100001101000
312202111202220002220
42011000013201220
514032214304202
61005230354040
7106203406653
oct20500074150
95674686086
102231400552
11a45627297
1252335b920
132973a6c74
141724d289a
15d0d70abc
hex85007868

2231400552 has 128 divisors (see below), whose sum is σ = 6035420160. Its totient is φ = 684968960.

The previous prime is 2231400547. The next prime is 2231400571. The reversal of 2231400552 is 2550041322.

It is a super-3 number, since 3×22314005523 (a number of 29 digits) contains 333 as substring.

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, 4435933 + ... + 4436435.

It is an arithmetic number, because the mean of its divisors is an integer number (47151720).

Almost surely, 22231400552 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 2231400552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017710080).

2231400552 is an abundant number, since it is smaller than the sum of its proper divisors (3804019608).

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

2231400552 is a wasteful number, since it uses less digits than its factorization.

2231400552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

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

The square root of 2231400552 is about 47237.7026537066. The cubic root of 2231400552 is about 1306.7500098976.

Adding to 2231400552 its reverse (2550041322), we get a palindrome (4781441874).

The spelling of 2231400552 in words is "two billion, two hundred thirty-one million, four hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 131 136 166 204 249 262 332 393 408 498 503 524 664 786 996 1006 1048 1411 1509 1572 1992 2012 2227 2822 3018 3144 4024 4233 4454 5644 6036 6681 8466 8551 8908 10873 11288 12072 13362 16932 17102 17816 21746 25653 26724 32619 33864 34204 41749 43492 51306 53448 65238 65893 68408 83498 86984 102612 125247 130476 131786 166996 184841 197679 205224 250494 260952 263572 333992 369682 395358 500988 527144 554523 709733 739364 790716 1001976 1109046 1120181 1419466 1478728 1581432 2129199 2218092 2240362 2838932 3360543 4258398 4436184 4480724 5469119 5677864 6721086 8516796 8961448 10938238 13442172 16407357 17033592 21876476 26884344 32814714 43752952 65629428 92975023 131258856 185950046 278925069 371900092 557850138 743800184 1115700276 2231400552