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23045352240 = 2435370925889
BaseRepresentation
bin10101011101100111…
…000010101100110000
32012111001220012011110
4111131213002230300
5334144102232430
614330433513320
71444041155601
oct253547025460
965431805143
1023045352240
119856556259
124571a12840
1322335aac01
141188935da8
158ed2bc7b0
hex55d9c2b30

23045352240 has 80 divisors (see below), whose sum is σ = 71462613600. Its totient is φ = 6143533056.

The previous prime is 23045352217. The next prime is 23045352287. The reversal of 23045352240 is 4225354032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23045352198 and 23045352207.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 877216 + ... + 903104.

It is an arithmetic number, because the mean of its divisors is an integer number (893282670).

Almost surely, 223045352240 is an apocalyptic number.

23045352240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23045352240 is an abundant number, since it is smaller than the sum of its proper divisors (48417261360).

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

23045352240 is a wasteful number, since it uses less digits than its factorization.

23045352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29614 (or 29608 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 23045352240 in words is "twenty-three billion, forty-five million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3709 7418 11127 14836 18545 22254 25889 29672 37090 44508 51778 55635 59344 74180 77667 89016 103556 111270 129445 148360 155334 178032 207112 222540 258890 296720 310668 388335 414224 445080 517780 621336 776670 890160 1035560 1242672 1553340 2071120 3106680 6213360 96022301 192044602 288066903 384089204 480111505 576133806 768178408 960223010 1152267612 1440334515 1536356816 1920446020 2304535224 2880669030 3840892040 4609070448 5761338060 7681784080 11522676120 23045352240