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2254401240 = 2335713206447
BaseRepresentation
bin1000011001011111…
…0110111011011000
312211010001110010020
42012113312323120
514104111314430
61011411350440
7106603044240
oct20627667330
95733043106
102254401240
11a57607023
1252abb2420
1329c09b140
1417559cb20
15d2db5b10
hex865f6ed8

2254401240 has 128 divisors (see below), whose sum is σ = 8323983360. Its totient is φ = 475651584.

The previous prime is 2254401223. The next prime is 2254401271. The reversal of 2254401240 is 421044522.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2254401240.

It is a congruent number.

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, 92304 + ... + 114143.

It is an arithmetic number, because the mean of its divisors is an integer number (65031120).

Almost surely, 22254401240 is an apocalyptic number.

2254401240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254401240 is an abundant number, since it is smaller than the sum of its proper divisors (6069582120).

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

2254401240 is a wasteful number, since it uses less digits than its factorization.

2254401240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206481 (or 206477 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2254401240 is about 47480.5353803008. The cubic root of 2254401240 is about 1311.2245488900.

Adding to 2254401240 its reverse (421044522), we get a palindrome (2675445762).

The spelling of 2254401240 in words is "two billion, two hundred fifty-four million, four hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 206447 412894 619341 825788 1032235 1238682 1445129 1651576 2064470 2477364 2683811 2890258 3096705 4128940 4335387 4954728 5367622 5780516 6193410 7225645 8051433 8257880 8670774 10735244 11561032 12386820 13419055 14451290 16102866 17341548 18786677 21470488 21676935 24773640 26838110 28902580 32205732 34683096 37573354 40257165 43353870 53676220 56360031 57805160 64411464 75146708 80514330 86707740 93933385 107352440 112720062 150293416 161028660 173415480 187866770 225440124 281800155 322057320 375733540 450880248 563600310 751467080 1127200620 2254401240