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245225541400 = 235271066316427
BaseRepresentation
bin1110010001100010010…
…1001100111100011000
3212102222012010020012021
43210120211030330120
513004210214311100
6304353254224224
723500626465250
oct3443045147430
9772865106167
10245225541400
1194aaa4748a4
123b639655074
131a180b8b068
14bc246a0960
1565a3ab4a1a
hex391894cf18

245225541400 has 96 divisors (see below), whose sum is σ = 651700074240. Its totient is φ = 84064325760.

The previous prime is 245225541391. The next prime is 245225541409. The reversal of 245225541400 is 4145522542.

It is an interprime number because it is at equal distance from previous prime (245225541391) and next prime (245225541409).

It is a super-2 number, since 2×2452255414002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245225541409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14919987 + ... + 14936413.

It is an arithmetic number, because the mean of its divisors is an integer number (6788542440).

Almost surely, 2245225541400 is an apocalyptic number.

245225541400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245225541400 is an abundant number, since it is smaller than the sum of its proper divisors (406474532840).

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

245225541400 is a wasteful number, since it uses less digits than its factorization.

245225541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27113 (or 27104 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 245225541400 in words is "two hundred forty-five billion, two hundred twenty-five million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 10663 16427 21326 32854 42652 53315 65708 74641 82135 85304 106630 114989 131416 149282 164270 213260 229978 266575 298564 328540 373205 410675 426520 459956 533150 574945 597128 657080 746410 821350 919912 1066300 1149890 1492820 1642700 1866025 2132600 2299780 2874725 2985640 3285400 3732050 4599560 5749450 7464100 11498900 14928200 22997800 175161101 350322202 700644404 875805505 1226127707 1401288808 1751611010 2452255414 3503222020 4379027525 4904510828 6130638535 7006444040 8758055050 9809021656 12261277070 17516110100 24522554140 30653192675 35032220200 49045108280 61306385350 122612770700 245225541400